Pith Number

pith:GW27LBNL

pith:2012:GW27LBNL2ZAWX7IR75VA6TRNGD

not attested not anchored not stored refs pending

Lattices of Equivalence Relations Closed Under the Operations of Relation Algebras

Jeremy F. Alm, John W. Snow

arxiv:1209.6099 v2 · 2012-09-27 · math.CO · math.LO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GW27LBNL2ZAWX7IR75VA6TRNGD}

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	2026-05-18T02:30:33.979171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35b5f585abd6416bfd11ff6a0f4e2d30e1b0ce084da581859a356c6e8a865575

Aliases

arxiv: 1209.6099 · arxiv_version: 1209.6099v2 · doi: 10.48550/arxiv.1209.6099 · pith_short_12: GW27LBNL2ZAW · pith_short_16: GW27LBNL2ZAWX7IR · pith_short_8: GW27LBNL

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/GW27LBNL2ZAWX7IR75VA6TRNGD \
  | 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: 35b5f585abd6416bfd11ff6a0f4e2d30e1b0ce084da581859a356c6e8a865575

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8010f888ba4d269aebed3a03c2ec65fbaac615874cfd86b80d267e0f7e42fc3c",
    "cross_cats_sorted": [
      "math.LO",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-27T00:31:21Z",
    "title_canon_sha256": "86876f770a39ee06b524e20ea417be0fabbb20f3b79a33b2d4597ae095927c15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.6099",
    "kind": "arxiv",
    "version": 2
  }
}