Pith Number

pith:CQQ3PX35

pith:2007:CQQ3PX35G4ZK6LM6YN5OZSGINZ

not attested not anchored not stored refs pending

Stability of Gorenstein Categories

Diana White, Sean Sather-Wagstaff, Tirdad Sharif

arxiv:math/0703644 v2 · 2007-03-21 · math.AC · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CQQ3PX35G4ZK6LM6YN5OZSGINZ}

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	2026-05-18T02:57:45.200780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1421b7df7d3732af2d9ec37aecc8c86e698ec83c79dfc4ef25009850f7b92875

Aliases

arxiv: math/0703644 · arxiv_version: math/0703644v2 · doi: 10.48550/arxiv.math/0703644 · pith_short_12: CQQ3PX35G4ZK · pith_short_16: CQQ3PX35G4ZK6LM6 · pith_short_8: CQQ3PX35

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/CQQ3PX35G4ZK6LM6YN5OZSGINZ \
  | 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: 1421b7df7d3732af2d9ec37aecc8c86e698ec83c79dfc4ef25009850f7b92875

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78331421697ef6e54c4faf426c1892c741477986fe619646acfc1ca9735a21cc",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.AC",
    "submitted_at": "2007-03-21T19:44:02Z",
    "title_canon_sha256": "debf23578093916188c4113a2be011e7d6a8ae8c5320047e702ef3cf1751bf77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703644",
    "kind": "arxiv",
    "version": 2
  }
}