Pith Number

pith:UY3XIZGB

pith:2010:UY3XIZGBQM4H4M5JSHW2AI25FJ

not attested not anchored not stored refs pending

From objects to diagrams for ranges of functors

Friedrich Wehrung (LMNO), Pierre Gillibert (MFF-UK)

arxiv:1003.4850 v2 · 2010-03-25 · math.CT · math.GM · math.LO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UY3XIZGBQM4H4M5JSHW2AI25FJ}

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	2026-05-18T04:22:31.964213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6377464c183387e33a991eda0235d2a4976af6f0cb73795db8ed7476abdb171

Aliases

arxiv: 1003.4850 · arxiv_version: 1003.4850v2 · doi: 10.48550/arxiv.1003.4850 · pith_short_12: UY3XIZGBQM4H · pith_short_16: UY3XIZGBQM4H4M5J · pith_short_8: UY3XIZGB

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/UY3XIZGBQM4H4M5JSHW2AI25FJ \
  | 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: a6377464c183387e33a991eda0235d2a4976af6f0cb73795db8ed7476abdb171

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a76ad1e661b2ff9e7e89bd2b11836f533a0a34a637c7e805af7053a3a630f45",
    "cross_cats_sorted": [
      "math.GM",
      "math.LO",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2010-03-25T10:44:04Z",
    "title_canon_sha256": "904fb334fdcba8221af9697c6f71811fb2b9f21fb9e34e1396d3204b4c374f1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.4850",
    "kind": "arxiv",
    "version": 2
  }
}