Pith Number

pith:RFEBKKD3

pith:2026:RFEBKKD3AL5C7A6NEJH7DREU6P

not attested not anchored not stored refs pending

The equivariant Milnor-Witt motive of $\overline{\mathcal{M}}_{1,2}$

Nanjun Yang

The equivariant Milnor-Witt motive of the moduli space of stable curves with two marked points admits an explicit decomposition.

arxiv:2605.11576 v3 · 2026-05-12 · math.AG · math.KT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RFEBKKD3AL5C7A6NEJH7DREU6P}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

We provide a decomposition of the equivariant Milnor-Witt motives for the moduli spaces of stable curves overline M_{1,2}.

C2weakest assumption

The category of equivariant Milnor-Witt motives is well-defined and admits a decomposition for this specific moduli space that can be explicitly described.

C3one line summary

A decomposition is given for the equivariant Milnor-Witt motive of the moduli space overline M_{1,2}.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:03:17.886434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

894815287b02fa2f83cd224ff1c494f3e2ce8db601a0985c8af8ca8a1953118b

Aliases

arxiv: 2605.11576 · arxiv_version: 2605.11576v3 · doi: 10.48550/arxiv.2605.11576 · pith_short_12: RFEBKKD3AL5C · pith_short_16: RFEBKKD3AL5C7A6N · pith_short_8: RFEBKKD3

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/RFEBKKD3AL5C7A6NEJH7DREU6P \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 894815287b02fa2f83cd224ff1c494f3e2ce8db601a0985c8af8ca8a1953118b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07363f2d899b36307161ec880861c19ef017d75330665dd624af6b2302802e64",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-05-12T06:02:58Z",
    "title_canon_sha256": "7fb4dbc4dac671aefd06390e648ff22402cf76818b796ef211e964d111d05add"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.11576",
    "kind": "arxiv",
    "version": 3
  }
}