Pith Number

pith:O3XUTRCB

pith:2013:O3XUTRCB25FNQYCOMOPZBZEAYM

not attested not anchored not stored refs pending

Weak Factorization Systems for S-acts

Alex Bailey, James Renshaw

arxiv:1302.0224 v1 · 2013-02-01 · 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{O3XUTRCB25FNQYCOMOPZBZEAYM}

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	2026-05-18T03:34:47.056049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76ef49c441d74ad8604e639f90e480c3017f5e4ea4c586838abe79203debcaba

Aliases

arxiv: 1302.0224 · arxiv_version: 1302.0224v1 · doi: 10.48550/arxiv.1302.0224 · pith_short_12: O3XUTRCB25FN · pith_short_16: O3XUTRCB25FNQYCO · pith_short_8: O3XUTRCB

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/O3XUTRCB25FNQYCOMOPZBZEAYM \
  | 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: 76ef49c441d74ad8604e639f90e480c3017f5e4ea4c586838abe79203debcaba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79d8cb9ece34ad6e2a5be883aa134922baa60512674a2aa2a6c56f9756d90930",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-02-01T17:10:32Z",
    "title_canon_sha256": "2c113fb3a2970965539560c18e86c017103e5da0cad9a18a019db71766f53062"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0224",
    "kind": "arxiv",
    "version": 1
  }
}