Pith Number

pith:5C74J77U

pith:2013:5C74J77UBMQXTQJUIZZAQ36L53

not attested not anchored not stored refs pending

The Chern classes of the Verlinde bundles

Alina Marian, Dragos Oprea, Rahul Pandharipande

arxiv:1308.4425 v2 · 2013-08-20 · 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{5C74J77UBMQXTQJUIZZAQ36L53}

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	2026-05-18T01:03:33.037011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8bfc4fff40b2179c1344672086fcbeecbcd92ca5cea83db6edbeea5dff09b51

Aliases

arxiv: 1308.4425 · arxiv_version: 1308.4425v2 · doi: 10.48550/arxiv.1308.4425 · pith_short_12: 5C74J77UBMQX · pith_short_16: 5C74J77UBMQXTQJU · pith_short_8: 5C74J77U

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/5C74J77UBMQXTQJUIZZAQ36L53 \
  | 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: e8bfc4fff40b2179c1344672086fcbeecbcd92ca5cea83db6edbeea5dff09b51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1a4085370e017326438d1594451ad6bf1281e83e9f412596e72a4e120065dc8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-08-20T20:20:27Z",
    "title_canon_sha256": "7c0172a26cf59f2c5ea6feb4db761beb67a2541dd651a439a7a9f06ff18f4093"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4425",
    "kind": "arxiv",
    "version": 2
  }
}