Pith Number

pith:G4M4XYVJ

pith:2012:G4M4XYVJZXTTJ3FA52QYOH6MER

not attested not anchored not stored refs pending

Koszul algebras and regularity

Aldo Conca, Emanuela De Negri, Maria Evelina Rossi

arxiv:1211.4324 v1 · 2012-11-19 · 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{G4M4XYVJZXTTJ3FA52QYOH6MER}

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	2026-05-18T03:40:27.288428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3719cbe2a9cde734eca0eea1871fcc2451ddeb7502c1af25963b8c64efb92200

Aliases

arxiv: 1211.4324 · arxiv_version: 1211.4324v1 · doi: 10.48550/arxiv.1211.4324 · pith_short_12: G4M4XYVJZXTT · pith_short_16: G4M4XYVJZXTTJ3FA · pith_short_8: G4M4XYVJ

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/G4M4XYVJZXTTJ3FA52QYOH6MER \
  | 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: 3719cbe2a9cde734eca0eea1871fcc2451ddeb7502c1af25963b8c64efb92200

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "077c3b201c7be9773fbc28e2a9c75395cf17c964fabede0932ab4b64b7744ea8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-11-19T07:51:34Z",
    "title_canon_sha256": "79152339a7d0c67a3696efed15c5d0e606398a662056fb4ac0a32b30b1834d58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4324",
    "kind": "arxiv",
    "version": 1
  }
}