Pith Number

pith:UJG3I5ZJ

pith:2014:UJG3I5ZJOFQ4ELETRFNFK7K7DF

not attested not anchored not stored refs pending

A module structure and a vanishing theorem for cycles with modulus

Amalendu Krishna, Jinhyun Park

arxiv:1412.7396 v3 · 2014-12-23 · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UJG3I5ZJOFQ4ELETRFNFK7K7DF}

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	2026-05-18T01:15:07.038909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a24db477297161c22c93895a557d5f19787bff82f5253ce1388b4f1bea712724

Aliases

arxiv: 1412.7396 · arxiv_version: 1412.7396v3 · doi: 10.48550/arxiv.1412.7396 · pith_short_12: UJG3I5ZJOFQ4 · pith_short_16: UJG3I5ZJOFQ4ELET · pith_short_8: UJG3I5ZJ

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/UJG3I5ZJOFQ4ELETRFNFK7K7DF \
  | 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: a24db477297161c22c93895a557d5f19787bff82f5253ce1388b4f1bea712724

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "accce55a3b17917964783f73fb6093ba2ac6ed9b5d7597e86a79692487521173",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-12-23T15:08:39Z",
    "title_canon_sha256": "a14a8e0bb8e18355244543cecd12c742cc21998cd411094c1a2c66d8322b90a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7396",
    "kind": "arxiv",
    "version": 3
  }
}