Pith Number

pith:E57KOJMC

pith:2007:E57KOJMCK5RYHEMVTF3MHIPOUO

not attested not anchored not stored refs pending

A 2-categories companion

Stephen Lack

arxiv:math/0702535 v1 · 2007-02-19 · 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{E57KOJMCK5RYHEMVTF3MHIPOUO}

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	2026-05-18T04:41:06.117477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

277ea7258257638391959976c3a1eea394200f91f2be59a655c1ee4eab548fc4

Aliases

arxiv: math/0702535 · arxiv_version: math/0702535v1 · doi: 10.48550/arxiv.math/0702535 · pith_short_12: E57KOJMCK5RY · pith_short_16: E57KOJMCK5RYHEMV · pith_short_8: E57KOJMC

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/E57KOJMCK5RYHEMVTF3MHIPOUO \
  | 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: 277ea7258257638391959976c3a1eea394200f91f2be59a655c1ee4eab548fc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f4ed6d89d39ff9c8d88f4c2ab086e9b910b8913281c661b4fbda5d8894e6e49",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CT",
    "submitted_at": "2007-02-19T04:14:38Z",
    "title_canon_sha256": "7e659ff18a7696b34bda101c845d984b56eabe640b8fe457fc99331be51a49f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702535",
    "kind": "arxiv",
    "version": 1
  }
}