Pith Number

pith:ACXS3EQL

pith:2001:ACXS3EQLYI5JWJMNUFSFJH7QYG

not attested not anchored not stored refs pending

Artin monoids inject in their groups

L. Paris

arxiv:math/0102002 v1 · 2001-02-01 · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ACXS3EQLYI5JWJMNUFSFJH7QYG}

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	2026-07-04T14:35:03.699292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00af2d920bc23a9b258da164549ff0c1b530e1d09e86a36c3a4bf4c0afb620fc

Aliases

arxiv: math/0102002 · arxiv_version: math/0102002v1 · doi: 10.48550/arxiv.math/0102002 · pith_short_12: ACXS3EQLYI5J · pith_short_16: ACXS3EQLYI5JWJMN · pith_short_8: ACXS3EQL

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/ACXS3EQLYI5JWJMNUFSFJH7QYG \
  | 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: 00af2d920bc23a9b258da164549ff0c1b530e1d09e86a36c3a4bf4c0afb620fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1ece82a54fb7b1b46c2df5f59632cf55f06debc107a7b8873d883e9951c5965",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2001-02-01T11:01:36Z",
    "title_canon_sha256": "3f653766ee9f280b56388cf18a9946a72ecbac01592b8bb74f6e4648fdaddb13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0102002",
    "kind": "arxiv",
    "version": 1
  }
}