Pith Number

pith:4QMPZFFK

pith:2015:4QMPZFFKRWLEJYPRIM7VHGI3YO

not attested not anchored not stored refs pending

Logics of Finite Hankel Rank

Johann A. Makowsky, Nadia Labai

arxiv:1512.02507 v1 · 2015-12-08 · 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{4QMPZFFKRWLEJYPRIM7VHGI3YO}

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	2026-05-18T01:24:44.542148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e418fc94aa8d9644e1f1433f53991bc394a645c15b7f53f70af91b381272b96a

Aliases

arxiv: 1512.02507 · arxiv_version: 1512.02507v1 · doi: 10.48550/arxiv.1512.02507 · pith_short_12: 4QMPZFFKRWLE · pith_short_16: 4QMPZFFKRWLEJYPR · pith_short_8: 4QMPZFFK

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/4QMPZFFKRWLEJYPRIM7VHGI3YO \
  | 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: e418fc94aa8d9644e1f1433f53991bc394a645c15b7f53f70af91b381272b96a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "854e4b456e0bf3c146f66d2e5ce19641a1c1568be1c82e40671f3304e3f70544",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-12-08T15:26:39Z",
    "title_canon_sha256": "33f6573c30c355055e53931e45781b0a38ed645c12f0ef1c3cd4e98b6e28e3c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02507",
    "kind": "arxiv",
    "version": 1
  }
}