Pith Number

pith:PHCGFSI5

pith:2012:PHCGFSI5ISVZBRM6BF4F4G6HDZ

not attested not anchored not stored refs pending

On some generalizations of BCC-algebras

Janus Thomys, Wieslaw A.Dudek

arxiv:1205.1440 v1 · 2012-05-07 · 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{PHCGFSI5ISVZBRM6BF4F4G6HDZ}

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	2026-05-18T03:24:54.289868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79c462c91d44ab90c59e09785e1bc71e5427299b5170607b6092f44098f80002

Aliases

arxiv: 1205.1440 · arxiv_version: 1205.1440v1 · doi: 10.48550/arxiv.1205.1440 · pith_short_12: PHCGFSI5ISVZ · pith_short_16: PHCGFSI5ISVZBRM6 · pith_short_8: PHCGFSI5

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/PHCGFSI5ISVZBRM6BF4F4G6HDZ \
  | 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: 79c462c91d44ab90c59e09785e1bc71e5427299b5170607b6092f44098f80002

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc0cf71c1d627439e3c142a397392b5cfcf35fdf03639083d4e0bdd039fc896e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-05-07T15:58:18Z",
    "title_canon_sha256": "0ec8caa38682381d2bdbe7e0c718e8d70693a7f4eea2673b3ec4632ae41afad8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1440",
    "kind": "arxiv",
    "version": 1
  }
}