Pith Number

pith:W4ZRWKQZ

pith:2013:W4ZRWKQZBNFWEFBHIL3PH6LFIT

not attested not anchored not stored refs pending

Groups definable in two orthogonal sorts

Alessandro Berarducci, Marcello Mamino

arxiv:1304.1380 v1 · 2013-04-04 · 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{W4ZRWKQZBNFWEFBHIL3PH6LFIT}

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	2026-05-18T03:28:56.962936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7331b2a190b4b62142742f6f3f96544ea32732ff170ec13fd3d8d1ea8895131

Aliases

arxiv: 1304.1380 · arxiv_version: 1304.1380v1 · doi: 10.48550/arxiv.1304.1380 · pith_short_12: W4ZRWKQZBNFW · pith_short_16: W4ZRWKQZBNFWEFBH · pith_short_8: W4ZRWKQZ

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/W4ZRWKQZBNFWEFBHIL3PH6LFIT \
  | 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: b7331b2a190b4b62142742f6f3f96544ea32732ff170ec13fd3d8d1ea8895131

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1a09d4da305f7345d2f8b664d28b29ac5ae81fe0c281e824040f6c0cffc9d29",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-04-04T14:41:30Z",
    "title_canon_sha256": "fd5adeeb7b29e6b7fc098895e0cc08cc382c98f8d04bc45462211513a55e6e19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1380",
    "kind": "arxiv",
    "version": 1
  }
}