Pith Number

pith:2R2PM3PW

pith:2014:2R2PM3PWOLUJWVYVLSSPTWQRIX

not attested not anchored not stored refs pending

On homotopy categories of Gorenstein modules: compact generation and dimensions

Nan Gao

arxiv:1401.4204 v2 · 2014-01-16 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2R2PM3PWOLUJWVYVLSSPTWQRIX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:59:08.323448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d474f66df672e89b57155ca4f9da1145c80fc9d53fa8397bb47d462106c0d628

Aliases

arxiv: 1401.4204 · arxiv_version: 1401.4204v2 · doi: 10.48550/arxiv.1401.4204 · pith_short_12: 2R2PM3PWOLUJ · pith_short_16: 2R2PM3PWOLUJWVYV · pith_short_8: 2R2PM3PW

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/2R2PM3PWOLUJWVYVLSSPTWQRIX \
  | 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: d474f66df672e89b57155ca4f9da1145c80fc9d53fa8397bb47d462106c0d628

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eaf2129321421368648a869cdfd2edef6af542a3ec38d4bf26c2538e63d4dad3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-01-16T23:59:15Z",
    "title_canon_sha256": "937278a8a93af32567afd0efb79995a530221c4f65fab2d307f008a0d6cc77b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.4204",
    "kind": "arxiv",
    "version": 2
  }
}