Pith Number

pith:UAMIX4J7

pith:2013:UAMIX4J7DE2OZFR64IFBBV4L2P

not attested not anchored not stored refs pending

Irrational numbers associated to sequences without geometric progressions

Kevin O'Bryant, Melvyn B. Nathanson

arxiv:1307.8135 v1 · 2013-07-30 · 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{UAMIX4J7DE2OZFR64IFBBV4L2P}

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	2026-05-18T01:15:53.575436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0188bf13f1934ec963ee20a10d78bd3d5dc0cd7b0111f571494aa11a95052f6

Aliases

arxiv: 1307.8135 · arxiv_version: 1307.8135v1 · doi: 10.48550/arxiv.1307.8135 · pith_short_12: UAMIX4J7DE2O · pith_short_16: UAMIX4J7DE2OZFR6 · pith_short_8: UAMIX4J7

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/UAMIX4J7DE2OZFR64IFBBV4L2P \
  | 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: a0188bf13f1934ec963ee20a10d78bd3d5dc0cd7b0111f571494aa11a95052f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "192e2f061899fe074d064b7d8ed85ad119e789c7e9b996677949fd6961377924",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-30T20:14:33Z",
    "title_canon_sha256": "2440a05640356e8114d5df3b0738106b8ad7e5b05edc6f01950ed7963799e8ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.8135",
    "kind": "arxiv",
    "version": 1
  }
}