Pith Number

pith:L4Q7WSJT

pith:2014:L4Q7WSJTWQRN7LSAOCH7Y5JQW7

not attested not anchored not stored refs pending

Gorensteinness, homological invariants and Gorenstein derived categories

Nan Gao

arxiv:1401.4202 v2 · 2014-01-16 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L4Q7WSJTWQRN7LSAOCH7Y5JQW7}

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	2026-05-18T02:59:08.329840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f21fb4933b422dfae40708ffc7530b7c7dd653a8caee5e0544e0011cb09b807

Aliases

arxiv: 1401.4202 · arxiv_version: 1401.4202v2 · doi: 10.48550/arxiv.1401.4202 · pith_short_12: L4Q7WSJTWQRN · pith_short_16: L4Q7WSJTWQRN7LSA · pith_short_8: L4Q7WSJT

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/L4Q7WSJTWQRN7LSAOCH7Y5JQW7 \
  | 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: 5f21fb4933b422dfae40708ffc7530b7c7dd653a8caee5e0544e0011cb09b807

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d309dd8d2a35830a9a5a4d77291573e58d41eeb3a0a424d27e3cce2c64a645e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-01-16T23:56:05Z",
    "title_canon_sha256": "45ca4b5810c68ad872d2eda0752f51472c77b6e368794a384a2d89d758f0e856"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.4202",
    "kind": "arxiv",
    "version": 2
  }
}