Pith Number

pith:FJTMOQVM

pith:2014:FJTMOQVMAXFWLIHXA74NDLUBHJ

not attested not anchored not stored refs pending

Complexity Degrees of Algebraic Structures

Wolmer V. Vasconcelos

arxiv:1402.1906 v1 · 2014-02-09 · 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{FJTMOQVMAXFWLIHXA74NDLUBHJ}

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	2026-05-18T02:59:33.189691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a66c742ac05cb65a0f707f8d1ae813a4b1c72ba151d8162c2f73729fc92f2f3

Aliases

arxiv: 1402.1906 · arxiv_version: 1402.1906v1 · doi: 10.48550/arxiv.1402.1906 · pith_short_12: FJTMOQVMAXFW · pith_short_16: FJTMOQVMAXFWLIHX · pith_short_8: FJTMOQVM

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/FJTMOQVMAXFWLIHXA74NDLUBHJ \
  | 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: 2a66c742ac05cb65a0f707f8d1ae813a4b1c72ba151d8162c2f73729fc92f2f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8042a36fa148e097c76080e8cc533e5bc2a95c5191e98656531fd6c306aa51e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-02-09T01:45:31Z",
    "title_canon_sha256": "ac208d944728bc3e6c475804bc27853c1bfb8ce8f33eb97fe353b1e87852b452"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.1906",
    "kind": "arxiv",
    "version": 1
  }
}