Pith Number

pith:JFLO76JI

pith:2012:JFLO76JI7HLPYFBSKOUNHZHPQM

not attested not anchored not stored refs pending

Random l-colourable structures with a pregeometry

Ove Ahlman, Vera Koponen

arxiv:1207.4936 v1 · 2012-07-20 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JFLO76JI7HLPYFBSKOUNHZHPQM}

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	2026-05-18T00:38:40.270294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4956eff928f9d6fc143253a8d3e4ef83348018b13c7d582c72b4390cc127beeb

Aliases

arxiv: 1207.4936 · arxiv_version: 1207.4936v1 · doi: 10.48550/arxiv.1207.4936 · pith_short_12: JFLO76JI7HLP · pith_short_16: JFLO76JI7HLPYFBS · pith_short_8: JFLO76JI

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/JFLO76JI7HLPYFBSKOUNHZHPQM \
  | 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: 4956eff928f9d6fc143253a8d3e4ef83348018b13c7d582c72b4390cc127beeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ead91143db71716dd9de2ccd73e73b38db9d89189bed99cb4ffa6541a53fe02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-07-20T12:29:44Z",
    "title_canon_sha256": "128338fe7b89a30f790ac7aa3cf9d953842f665ff1b574c992cdf5b253b8e2d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4936",
    "kind": "arxiv",
    "version": 1
  }
}