Pith Number

pith:BNZHFNEB

pith:2016:BNZHFNEBE4SC6RDINOMLTNXNUK

not attested not anchored not stored refs pending

Integer Complexity: Representing Numbers of Bounded Defect

Harry Altman

arxiv:1603.06122 v1 · 2016-03-19 · 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{BNZHFNEBE4SC6RDINOMLTNXNUK}

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	2026-05-18T00:40:24.387559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b7272b48127242f44686b98b9b6eda280b4967c0c10b0fc0a8fd96e326b8f54

Aliases

arxiv: 1603.06122 · arxiv_version: 1603.06122v1 · doi: 10.48550/arxiv.1603.06122 · pith_short_12: BNZHFNEBE4SC · pith_short_16: BNZHFNEBE4SC6RDI · pith_short_8: BNZHFNEB

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/BNZHFNEBE4SC6RDINOMLTNXNUK \
  | 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: 0b7272b48127242f44686b98b9b6eda280b4967c0c10b0fc0a8fd96e326b8f54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "834d8b97e4b3c4154737d9ed99ad869e759f79853b7499b9932e84f39343dae4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-03-19T18:00:33Z",
    "title_canon_sha256": "1fb76c728ab00c3489fa2473ddc77893ad7fe9026772e9b71c2b56f75a4e4468"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06122",
    "kind": "arxiv",
    "version": 1
  }
}