Pith Number

pith:5KFNMJSD

pith:2013:5KFNMJSD2UWGEKFLDE37NTR2XI

not attested not anchored not stored refs pending

Second numbers in arithmetic progressions

Andrzej Nowicki

arxiv:1306.6424 v2 · 2013-06-27 · 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{5KFNMJSD2UWGEKFLDE37NTR2XI}

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	2026-05-18T03:19:34.455926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea8ad62643d52c6228ab1937f6ce3aba0ac62bbc7488ee9c1a4d56152ccc76ed

Aliases

arxiv: 1306.6424 · arxiv_version: 1306.6424v2 · doi: 10.48550/arxiv.1306.6424 · pith_short_12: 5KFNMJSD2UWG · pith_short_16: 5KFNMJSD2UWGEKFL · pith_short_8: 5KFNMJSD

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/5KFNMJSD2UWGEKFLDE37NTR2XI \
  | 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: ea8ad62643d52c6228ab1937f6ce3aba0ac62bbc7488ee9c1a4d56152ccc76ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6b33636bd254b168cf43ddbed3b1d7c50545174f780c3e2850c2736d0088599",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-27T07:30:49Z",
    "title_canon_sha256": "5e34ef840176dd16a4c6f84b792ae432fc73d852263404692eb3af51c9a03a41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6424",
    "kind": "arxiv",
    "version": 2
  }
}