Pith Number

pith:G2Z3WKBT

pith:2026:G2Z3WKBTSOOVYBPBEIPOOQBRCR

not attested not anchored not stored refs pending

The Chow ring of $\mathcal{S}_5^-$ is tautological

Bogdan Carasca

arxiv:2606.15193 v2 · 2026-06-13 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G2Z3WKBTSOOVYBPBEIPOOQBRCR}

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.

Receipt and verification

First computed	2026-06-30T02:17:24.945919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36b3bb2833939d5c05e1221ee74031146dfdb7bd702265d631bb9580e8ada2f5

Aliases

arxiv: 2606.15193 · arxiv_version: 2606.15193v2 · doi: 10.48550/arxiv.2606.15193 · pith_short_12: G2Z3WKBTSOOV · pith_short_16: G2Z3WKBTSOOVYBPB · pith_short_8: G2Z3WKBT

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/G2Z3WKBTSOOVYBPBEIPOOQBRCR \
  | 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: 36b3bb2833939d5c05e1221ee74031146dfdb7bd702265d631bb9580e8ada2f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68b98bd0135a03d0c4f815e5e20f35040d6818b3249f668dbdc555be7c05ff33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-06-13T08:38:24Z",
    "title_canon_sha256": "105feeccf3e1743737ec5ad6fea8d796d43b2709df15322040a5a243125af11f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.15193",
    "kind": "arxiv",
    "version": 2
  }
}