Pith Number

pith:6KRPO2VK

pith:2013:6KRPO2VKR7UFOBTUPJ4JQ3EQJU

not attested not anchored not stored refs pending

The Chern character of the Verlinde bundle over the moduli space of stable curves

A. Marian, A. Pixton, D. Oprea, D. Zvonkine, R. Pandharipande

arxiv:1311.3028 v3 · 2013-11-13 · 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{6KRPO2VKR7UFOBTUPJ4JQ3EQJU}

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	2026-05-18T01:03:33.012867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2a2f76aaa8fe85706747a78986c904d0e916369c193bb8d5def76c06bd0d56d

Aliases

arxiv: 1311.3028 · arxiv_version: 1311.3028v3 · doi: 10.48550/arxiv.1311.3028 · pith_short_12: 6KRPO2VKR7UF · pith_short_16: 6KRPO2VKR7UFOBTU · pith_short_8: 6KRPO2VK

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/6KRPO2VKR7UFOBTUPJ4JQ3EQJU \
  | 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: f2a2f76aaa8fe85706747a78986c904d0e916369c193bb8d5def76c06bd0d56d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60c31f016637bd4c837409e983b624ae738eea37217bbdc68256d8993e9b33e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-11-13T06:45:00Z",
    "title_canon_sha256": "770b6b41bad980258a29b39d711727756f3a6630eae9839eddc83f2c097e213c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3028",
    "kind": "arxiv",
    "version": 3
  }
}