Pith Number

pith:76HOAHVC

pith:2005:76HOAHVC5EJNVXBZNRJXWG3FDX

not attested not anchored not stored refs pending

Congruence amalgamation of lattices

Friedrich Wehrung (LMNO), George Gr\"atzer, Harry Lakser

arxiv:math/0501370 v1 · 2005-01-22 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{76HOAHVC5EJNVXBZNRJXWG3FDX}

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	2026-05-18T01:08:51.421631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff8ee01ea2e912dadc396c537b1b651dff1bb1cbe7db4327aeedf5acc561cff5

Aliases

arxiv: math/0501370 · arxiv_version: math/0501370v1 · doi: 10.48550/arxiv.math/0501370 · pith_short_12: 76HOAHVC5EJN · pith_short_16: 76HOAHVC5EJNVXBZ · pith_short_8: 76HOAHVC

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/76HOAHVC5EJNVXBZNRJXWG3FDX \
  | 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: ff8ee01ea2e912dadc396c537b1b651dff1bb1cbe7db4327aeedf5acc561cff5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8f5306f286e98f830d37891272699d9d7c5cf18400c47046f03bb603a6a53ef",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GM",
    "submitted_at": "2005-01-22T11:36:02Z",
    "title_canon_sha256": "747bc6726ec6eeed4d11f48dbc6cde8c8cc86a5d0b6880e9fac3e9f6f0eba1b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0501370",
    "kind": "arxiv",
    "version": 1
  }
}