Pith Number

pith:X4KWSSAZ

pith:2024:X4KWSSAZM65GEFMMZYANQEGAPD

not attested not anchored not stored refs pending

ZEROS

Garth Warner

arxiv:2408.00961 v1 · 2024-08-02 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X4KWSSAZM65GEFMMZYANQEGAPD}

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	2026-07-05T08:51:24.749595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf1569481967ba62158cce00d810c078f978f68651d37c10c40b1fd8ec24f258

Aliases

arxiv: 2408.00961 · arxiv_version: 2408.00961v1 · doi: 10.48550/arxiv.2408.00961 · pith_short_12: X4KWSSAZM65G · pith_short_16: X4KWSSAZM65GEFMM · pith_short_8: X4KWSSAZ

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/X4KWSSAZM65GEFMMZYANQEGAPD \
  | 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: bf1569481967ba62158cce00d810c078f978f68651d37c10c40b1fd8ec24f258

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c13f4120aa7dfb20b2b84c3dbfdb4cf1b6353cd7d188776b817dd1d6c1bb1d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-08-02T00:28:29Z",
    "title_canon_sha256": "2ec2ad19d086530ad6a75024d0275672b67ce0dfb0ab9a49aaacfc02a7fabc92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.00961",
    "kind": "arxiv",
    "version": 1
  }
}