Pith Number

pith:XTYRSI5S

pith:2004:XTYRSI5SMACAYA53L6HBVUO2EV

not attested not anchored not stored refs pending

Structures and Representations of Generalized Path Algebras

Shouchuan Zhang, Yao-Zhong Zhang

arxiv:math/0402188 v5 · 2004-02-12 · math.RA · 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{XTYRSI5SMACAYA53L6HBVUO2EV}

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	2026-05-18T04:04:55.390562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcf11923b260040c03bb5f8e1ad1da2542e0249d3cc6bb779eea33117ef1164c

Aliases

arxiv: math/0402188 · arxiv_version: math/0402188v5 · doi: 10.48550/arxiv.math/0402188 · pith_short_12: XTYRSI5SMACA · pith_short_16: XTYRSI5SMACAYA53 · pith_short_8: XTYRSI5S

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/XTYRSI5SMACAYA53L6HBVUO2EV \
  | 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: bcf11923b260040c03bb5f8e1ad1da2542e0249d3cc6bb779eea33117ef1164c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43bd416ff459ea2f8d019c4b0c3fc92f0938a0f702fd419f047209795b01c522",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2004-02-12T00:13:43Z",
    "title_canon_sha256": "d12f450edc3030b9df5a3c531d88f8468f038f8962b68ddb143a28e4e0f1371b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0402188",
    "kind": "arxiv",
    "version": 5
  }
}