Pith Number

pith:JIGXC5QW

pith:2012:JIGXC5QWIJVDK4TMC7X2MMIPAI

not attested not anchored not stored refs pending

Almost closed 1-forms

R. Pandharipande, R. P. Thomas

arxiv:1204.3958 v1 · 2012-04-18 · 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{JIGXC5QWIJVDK4TMC7X2MMIPAI}

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	2026-05-18T02:45:49.855592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a0d717616426a35726c17efa6310f02192ae56e01c39c32703678fb208a6c90

Aliases

arxiv: 1204.3958 · arxiv_version: 1204.3958v1 · doi: 10.48550/arxiv.1204.3958 · pith_short_12: JIGXC5QWIJVD · pith_short_16: JIGXC5QWIJVDK4TM · pith_short_8: JIGXC5QW

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/JIGXC5QWIJVDK4TMC7X2MMIPAI \
  | 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: 4a0d717616426a35726c17efa6310f02192ae56e01c39c32703678fb208a6c90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e778d9dd09e318c589b5ba808fb605d586451d1d46c040bb09c9df23b16858db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-04-18T01:42:16Z",
    "title_canon_sha256": "4eb2bde45d43bdbbf75376449ce8fb347bde9dc2a1a6140812dedf15f1069a87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3958",
    "kind": "arxiv",
    "version": 1
  }
}