Pith Number

pith:FCUAOZUM

pith:2013:FCUAOZUMCUOSZLZW7IRPMY6C5Q

not attested not anchored not stored refs pending

Laurent cancellation for rings of transcendence degree one

Gene Freudenburg

arxiv:1309.4737 v2 · 2013-09-18 · 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{FCUAOZUMCUOSZLZW7IRPMY6C5Q}

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	2026-05-18T03:11:57.009829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28a807668c151d2caf36fa22f663c2ec13d3105ce310f094921370fb9987efef

Aliases

arxiv: 1309.4737 · arxiv_version: 1309.4737v2 · doi: 10.48550/arxiv.1309.4737 · pith_short_12: FCUAOZUMCUOS · pith_short_16: FCUAOZUMCUOSZLZW · pith_short_8: FCUAOZUM

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/FCUAOZUMCUOSZLZW7IRPMY6C5Q \
  | 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: 28a807668c151d2caf36fa22f663c2ec13d3105ce310f094921370fb9987efef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c8da31650315c0dcfc06bd531fc8cd4d62b9daf081d420f43102e5e22035ff9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-09-18T18:31:12Z",
    "title_canon_sha256": "2cc0d92720651b70673eb24f4026a598e508131304e7daba37d605120478c273"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4737",
    "kind": "arxiv",
    "version": 2
  }
}