Pith Number

pith:QEVLHSZM

pith:2008:QEVLHSZM5STH5JMOP5P4SSMWY2

not attested not anchored not stored refs pending

Koszul cohomology and applications to moduli

Gavril Farkas, Marian Aprodu

arxiv:0811.3117 v1 · 2008-11-19 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QEVLHSZM5STH5JMOP5P4SSMWY2}

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	2026-05-18T04:13:46.032271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

812ab3cb2ceca67ea58e7f5fc94996c699bec613086f95e46f0e23bdce5c245a

Aliases

arxiv: 0811.3117 · arxiv_version: 0811.3117v1 · doi: 10.48550/arxiv.0811.3117 · pith_short_12: QEVLHSZM5STH · pith_short_16: QEVLHSZM5STH5JMO · pith_short_8: QEVLHSZM

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/QEVLHSZM5STH5JMOP5P4SSMWY2 \
  | 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: 812ab3cb2ceca67ea58e7f5fc94996c699bec613086f95e46f0e23bdce5c245a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26d2280bc64a8f6339de4abd497ec0d2298f5dd0807fd2372997e0adc3075dc7",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-11-19T13:46:14Z",
    "title_canon_sha256": "79e773aefdde272bbdf6ac6f18491b2846f2ea18b69fd659624a1fe7e68b7e3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.3117",
    "kind": "arxiv",
    "version": 1
  }
}