Pith Number

pith:WYE5WCC6

pith:2015:WYE5WCC6ZFBLPR4MGEORVS6C6D

not attested not anchored not stored refs pending

Monic monomial representations I Gorenstein-projective modules

Pu Zhang, Xiu-Hua Luo

arxiv:1510.05124 v3 · 2015-10-17 · 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{WYE5WCC6ZFBLPR4MGEORVS6C6D}

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	2026-05-18T01:20:16.661625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b609db085ec942b7c78c311d1acbc2f0d067b357548af2f499faa1b9359974fb

Aliases

arxiv: 1510.05124 · arxiv_version: 1510.05124v3 · doi: 10.48550/arxiv.1510.05124 · pith_short_12: WYE5WCC6ZFBL · pith_short_16: WYE5WCC6ZFBLPR4M · pith_short_8: WYE5WCC6

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/WYE5WCC6ZFBLPR4MGEORVS6C6D \
  | 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: b609db085ec942b7c78c311d1acbc2f0d067b357548af2f499faa1b9359974fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ca83265956a56d5d3205595c9d22ef64ee9b88dfcbdec4bdfb6d749ce580ce8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-10-17T12:44:25Z",
    "title_canon_sha256": "947667874f125c63f87cda8cc98f8961ca2459130032976a75f87c2c073656e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05124",
    "kind": "arxiv",
    "version": 3
  }
}