Pith Number

pith:WARN7QLU

pith:2017:WARN7QLUXR2S3DJ4NFUKKI6D7W

not attested not anchored not stored refs pending

A metric theory of minimal gaps

Ze\'ev Rudnick

arxiv:1710.01911 v2 · 2017-10-05 · 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{WARN7QLUXR2S3DJ4NFUKKI6D7W}

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	2026-05-18T00:14:47.253810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b022dfc174bc752d8d3c6968a523c3fdbd918d0e51342a7db22c6fe4d9fb89eb

Aliases

arxiv: 1710.01911 · arxiv_version: 1710.01911v2 · doi: 10.48550/arxiv.1710.01911 · pith_short_12: WARN7QLUXR2S · pith_short_16: WARN7QLUXR2S3DJ4 · pith_short_8: WARN7QLU

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/WARN7QLUXR2S3DJ4NFUKKI6D7W \
  | 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: b022dfc174bc752d8d3c6968a523c3fdbd918d0e51342a7db22c6fe4d9fb89eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "974c71d604fb8810bde47c32c09b5c4075b095e169f477cc724d5253cbb607a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-10-05T08:26:12Z",
    "title_canon_sha256": "51a0a7358fea043aa0c23f9952ae29f0bad0f2a9d13d59a5712727ee69164889"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.01911",
    "kind": "arxiv",
    "version": 2
  }
}