Pith Number

pith:VWGJ3X3I

pith:2017:VWGJ3X3I5TS5NB2Y4GOLSLK3LY

not attested not anchored not stored refs pending

Idempotents in Tangle Categories Split

Joshua Sack, Ryan Blair

arxiv:1801.00230 v1 · 2017-12-31 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VWGJ3X3I5TS5NB2Y4GOLSLK3LY}

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	2026-05-18T00:26:59.006626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad8c9ddf68ece5d68758e19cb92d5b5e2d83290edd96fa92aa93e51e30062e90

Aliases

arxiv: 1801.00230 · arxiv_version: 1801.00230v1 · doi: 10.48550/arxiv.1801.00230 · pith_short_12: VWGJ3X3I5TS5 · pith_short_16: VWGJ3X3I5TS5NB2Y · pith_short_8: VWGJ3X3I

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/VWGJ3X3I5TS5NB2Y4GOLSLK3LY \
  | 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: ad8c9ddf68ece5d68758e19cb92d5b5e2d83290edd96fa92aa93e51e30062e90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d3d82712b6de3935c05aeca5cf9f128d7e48b286816d2ab861d901334d7dbb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-12-31T04:00:17Z",
    "title_canon_sha256": "008ca92e52b66bd4a9e45e793cc44409e465727aec8f7348b36a1e40d175386b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.00230",
    "kind": "arxiv",
    "version": 1
  }
}