Pith Number

pith:GWBGNNIQ

pith:2016:GWBGNNIQF2BYWYNMAMHMK5HDBQ

not attested not anchored not stored refs pending

Relative exchangeability with equivalence relations

Harry Crane, Henry Towsner

arxiv:1605.04484 v1 · 2016-05-15 · math.LO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GWBGNNIQF2BYWYNMAMHMK5HDBQ}

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	2026-05-18T01:14:47.096004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

358266b5102e838b61ac030ec574e30c0039cb00bebf6bf826aef3d9a179dd65

Aliases

arxiv: 1605.04484 · arxiv_version: 1605.04484v1 · doi: 10.48550/arxiv.1605.04484 · pith_short_12: GWBGNNIQF2BY · pith_short_16: GWBGNNIQF2BYWYNM · pith_short_8: GWBGNNIQ

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/GWBGNNIQF2BYWYNMAMHMK5HDBQ \
  | 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: 358266b5102e838b61ac030ec574e30c0039cb00bebf6bf826aef3d9a179dd65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9eb060c1d69b8a851239d4c689b38ab48341257881c957c87ead9939f54803ab",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-05-15T01:23:14Z",
    "title_canon_sha256": "c64acb85d4b8c903dc6feec0c544476c753077a6ba03fa9446730649b10f7e00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04484",
    "kind": "arxiv",
    "version": 1
  }
}