Pith Number

pith:FGAYMPXM

pith:2018:FGAYMPXMPIV7Q27P2RXKJDUBRL

not attested not anchored not stored refs pending

Distinct Volume Subsets via Indiscernibles

Douglas Ulrich, William Gasarch

arxiv:1807.06654 v1 · 2018-07-17 · 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{FGAYMPXMPIV7Q27P2RXKJDUBRL}

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	2026-05-18T00:10:27.261308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2981863eec7a2bf86befd46ea48e818ad174a8c1421ced7d1abf81725550c7b1

Aliases

arxiv: 1807.06654 · arxiv_version: 1807.06654v1 · doi: 10.48550/arxiv.1807.06654 · pith_short_12: FGAYMPXMPIV7 · pith_short_16: FGAYMPXMPIV7Q27P · pith_short_8: FGAYMPXM

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/FGAYMPXMPIV7Q27P2RXKJDUBRL \
  | 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: 2981863eec7a2bf86befd46ea48e818ad174a8c1421ced7d1abf81725550c7b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3afe01c2183161ecd765a1dfd624907e76dd0fa4c1254cf2f4937acda72454c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-07-17T20:19:57Z",
    "title_canon_sha256": "1b2319f90db08d762638c056167994dfadd107653aa7c0127126e76217d7c6a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.06654",
    "kind": "arxiv",
    "version": 1
  }
}