Pith Number

pith:GPXBOLOS

pith:2014:GPXBOLOS2TAC5SKNLPBRKZXSVW

not attested not anchored not stored refs pending

Combinatorial structure of type dependency

Richard Garner

arxiv:1402.6799 v1 · 2014-02-27 · math.LO · cs.LO · 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{GPXBOLOS2TAC5SKNLPBRKZXSVW}

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.

Cited by

1 paper in Pith

Comparing semantic frameworks for dependently-sorted algebraic theories

Receipt and verification

First computed	2026-05-18T02:57:37.003620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33ee172dd2d4c02ec94d5bc31566f2ad966b40f0e595f0aa151205b02cc2f567

Aliases

arxiv: 1402.6799 · arxiv_version: 1402.6799v1 · doi: 10.48550/arxiv.1402.6799 · pith_short_12: GPXBOLOS2TAC · pith_short_16: GPXBOLOS2TAC5SKN · pith_short_8: GPXBOLOS

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/GPXBOLOS2TAC5SKNLPBRKZXSVW \
  | 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: 33ee172dd2d4c02ec94d5bc31566f2ad966b40f0e595f0aa151205b02cc2f567

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f66c714b9dd998743dcb9c329d9f52a2bedfbf2e62bbab40421dc45febb982aa",
    "cross_cats_sorted": [
      "cs.LO",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-02-27T06:30:35Z",
    "title_canon_sha256": "b86edf6c052c4074a627334ecf0e56dc054aa2554b631760dacbaac1a56987f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.6799",
    "kind": "arxiv",
    "version": 1
  }
}