Pith Number

pith:LJCHXJA4

pith:2013:LJCHXJA4VYRNED4XDULO5ZLSNU

not attested not anchored not stored refs pending

Top tautological group of $\mathcal M_{g,n}$

A. Buryak, D. Zvonkine, S. Shadrin

arxiv:1312.2775 v2 · 2013-12-10 · 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{LJCHXJA4VYRNED4XDULO5ZLSNU}

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	2026-05-18T00:37:49.117346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a447ba41cae22d20f971d16eee5726d282750eb4fbc70ddbb98be208ec4659d

Aliases

arxiv: 1312.2775 · arxiv_version: 1312.2775v2 · doi: 10.48550/arxiv.1312.2775 · pith_short_12: LJCHXJA4VYRN · pith_short_16: LJCHXJA4VYRNED4X · pith_short_8: LJCHXJA4

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/LJCHXJA4VYRNED4XDULO5ZLSNU \
  | 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: 5a447ba41cae22d20f971d16eee5726d282750eb4fbc70ddbb98be208ec4659d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd69824f30933c8b6f16de0f0b94afadca72986a1f7be71a4b450d2388af688f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-12-10T12:23:00Z",
    "title_canon_sha256": "e6cbc7c120650039e725f0de4675228d94d287e22ec1da7b0585cb47ffe1a519"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2775",
    "kind": "arxiv",
    "version": 2
  }
}