Pith Number

pith:ALQ7GVML

pith:2014:ALQ7GVMLQM2FUW632MJF3JPSMJ

not attested not anchored not stored refs pending

Nakayama automorphism and applications

James J. Zhang, Jiafeng Lu, Xuefeng Mao

arxiv:1408.5761 v3 · 2014-08-25 · 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{ALQ7GVMLQM2FUW632MJF3JPSMJ}

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	2026-05-18T02:19:08.308002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02e1f3558b83345a5bdbd3125da5f2627c2fc582322b208c39043be0f33b1185

Aliases

arxiv: 1408.5761 · arxiv_version: 1408.5761v3 · doi: 10.48550/arxiv.1408.5761 · pith_short_12: ALQ7GVMLQM2F · pith_short_16: ALQ7GVMLQM2FUW63 · pith_short_8: ALQ7GVML

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/ALQ7GVMLQM2FUW632MJF3JPSMJ \
  | 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: 02e1f3558b83345a5bdbd3125da5f2627c2fc582322b208c39043be0f33b1185

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7709c2202157e02626ce078ef07647bf5b0923aa39b8547204cafb8354a0f366",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-08-25T13:49:46Z",
    "title_canon_sha256": "a566fdd86b2c9b120e2e233624a1e2ba678dfbf56f621c7b0e62c6321bd1670d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.5761",
    "kind": "arxiv",
    "version": 3
  }
}