Pith Number

pith:T5P3GLIV

pith:2014:T5P3GLIVNV2O5ASB46BGZCSR2T

not attested not anchored not stored refs pending

On certain 2-categories admitting localisation by bicategories of fractions

David Michael Roberts

arxiv:1402.7108 v4 · 2014-02-28 · 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{T5P3GLIVNV2O5ASB46BGZCSR2T}

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	2026-05-18T00:24:40.222997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f5fb32d156d74ee8241e7826c8a51d4cc2942defde09ddd07ce720e3ffda203

Aliases

arxiv: 1402.7108 · arxiv_version: 1402.7108v4 · doi: 10.48550/arxiv.1402.7108 · pith_short_12: T5P3GLIVNV2O · pith_short_16: T5P3GLIVNV2O5ASB · pith_short_8: T5P3GLIV

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/T5P3GLIVNV2O5ASB46BGZCSR2T \
  | 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: 9f5fb32d156d74ee8241e7826c8a51d4cc2942defde09ddd07ce720e3ffda203

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae1680ba56e98fd23924c5ea4ea080933a289f0f0e6e036bccfee09967614744",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.CT",
    "submitted_at": "2014-02-28T00:05:39Z",
    "title_canon_sha256": "ac4d476c9885e915fee304533f38b58b468aca3235e7778b3a11b481a8aa215f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.7108",
    "kind": "arxiv",
    "version": 4
  }
}