Pith Number

pith:VGLDV4HA

pith:2016:VGLDV4HAG26UJSYNS5ULGADZVU

not attested not anchored not stored refs pending

Graded simple modules and loop modules

Alberto Elduque, Mikhail Kochetov

arxiv:1601.03008 v2 · 2016-01-12 · 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{VGLDV4HAG26UJSYNS5ULGADZVU}

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	2026-05-18T01:04:53.825572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9963af0e036bd44cb0d9768b30079ad0e29104f5980c1309557b8c1aaa39959

Aliases

arxiv: 1601.03008 · arxiv_version: 1601.03008v2 · doi: 10.48550/arxiv.1601.03008 · pith_short_12: VGLDV4HAG26U · pith_short_16: VGLDV4HAG26UJSYN · pith_short_8: VGLDV4HA

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/VGLDV4HAG26UJSYNS5ULGADZVU \
  | 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: a9963af0e036bd44cb0d9768b30079ad0e29104f5980c1309557b8c1aaa39959

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f43eed916e61db9cac9169f733285ba7b5d2fb9eddfff39f4bb1131bff4b1787",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-01-12T19:37:50Z",
    "title_canon_sha256": "11212598270ddcec9aa521c0098b092c521dc83972fbdcf1a24421d16218e3a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03008",
    "kind": "arxiv",
    "version": 2
  }
}