Pith Number

pith:523Z73PA

pith:2026:523Z73PAVOCUNU52YNOA26E3ZD

not attested not anchored not stored refs pending

A generalized Liouville theorem via division

David Lee

arxiv:2607.00863 v1 · 2026-07-01 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{523Z73PAVOCUNU52YNOA26E3ZD}

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	2026-07-02T01:18:21.726104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eeb79fede0ab8546d3bac35c0d789bc8ddad3359e7175f34c674f9e04e8fca8e

Aliases

arxiv: 2607.00863 · arxiv_version: 2607.00863v1 · doi: 10.48550/arxiv.2607.00863 · pith_short_12: 523Z73PAVOCU · pith_short_16: 523Z73PAVOCUNU52 · pith_short_8: 523Z73PA

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/523Z73PAVOCUNU52YNOA26E3ZD \
  | 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: eeb79fede0ab8546d3bac35c0d789bc8ddad3359e7175f34c674f9e04e8fca8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fba71a60f8927eefef5582961f9c3b7c841d52fed88d5a4d3feb21522db82428",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-01T12:28:40Z",
    "title_canon_sha256": "728092c36cccb5859b6bab00ccce0964f713fdebd17b46a3b297f99f89c728d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00863",
    "kind": "arxiv",
    "version": 1
  }
}