Pith Number

pith:KRSFIQ7V

pith:2015:KRSFIQ7VMSXZBBIPWGTLK6E6LB

not attested not anchored not stored refs pending

Gorenstein modules and Auslander categories

Dejun Wu, Yongduo Wang

arxiv:1501.02066 v2 · 2015-01-09 · 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{KRSFIQ7VMSXZBBIPWGTLK6E6LB}

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	2026-05-18T01:21:49.248906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54645443f564af90850fb1a6b5789e5844870a7010e218693db8e376baa5fa09

Aliases

arxiv: 1501.02066 · arxiv_version: 1501.02066v2 · doi: 10.48550/arxiv.1501.02066 · pith_short_12: KRSFIQ7VMSXZ · pith_short_16: KRSFIQ7VMSXZBBIP · pith_short_8: KRSFIQ7V

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/KRSFIQ7VMSXZBBIPWGTLK6E6LB \
  | 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: 54645443f564af90850fb1a6b5789e5844870a7010e218693db8e376baa5fa09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb8aeaf93c60f0532e148ce69ea35da7a92134ef098aab43578f058ccdc4310a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-01-09T08:41:59Z",
    "title_canon_sha256": "75ee844e45275faf36f01bab12b90d2399df978ca3f12ef356325c517f870d34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02066",
    "kind": "arxiv",
    "version": 2
  }
}