Pith Number

pith:4OF3S7IF

pith:2009:4OF3S7IFJ7ZMF7MWS35SYHUAMZ

not attested not anchored not stored refs pending

Bicategories of spans as cartesian bicategories

R.F.C. Walters, R.J. Wood, Stephen Lack

arxiv:0910.2996 v2 · 2009-10-15 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4OF3S7IFJ7ZMF7MWS35SYHUAMZ}

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	2026-05-18T04:41:14.194947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e38bb97d054ff2c2fd9696fb2c1e806678d4af59adf434edda8544daa0c13f68

Aliases

arxiv: 0910.2996 · arxiv_version: 0910.2996v2 · doi: 10.48550/arxiv.0910.2996 · pith_short_12: 4OF3S7IFJ7ZM · pith_short_16: 4OF3S7IFJ7ZMF7MW · pith_short_8: 4OF3S7IF

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/4OF3S7IFJ7ZMF7MWS35SYHUAMZ \
  | 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: e38bb97d054ff2c2fd9696fb2c1e806678d4af59adf434edda8544daa0c13f68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f167c717f0af1964d5b54494cada7774238142f4d1a90e27ac4e1e340d82db7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2009-10-15T21:12:54Z",
    "title_canon_sha256": "1f77b7202837e2132a6b78ee66061e644662b5286468dabd0e829b352984cfdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.2996",
    "kind": "arxiv",
    "version": 2
  }
}