Pith Number

pith:U6XZDNMN

pith:2012:U6XZDNMNHB4NIDRSR6ZFPCGIRX

not attested not anchored not stored refs pending

Gaps and the exponent of convergence of an integer sequence

Georges Grekos, Jana Tomanov\'a, Martin Sleziak

arxiv:1201.2158 v1 · 2012-01-10 · 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{U6XZDNMNHB4NIDRSR6ZFPCGIRX}

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	2026-05-18T04:04:53.809707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7af91b58d3878d40e328fb25788c88dc925783e831b095ee74b215d3087270f

Aliases

arxiv: 1201.2158 · arxiv_version: 1201.2158v1 · doi: 10.48550/arxiv.1201.2158 · pith_short_12: U6XZDNMNHB4N · pith_short_16: U6XZDNMNHB4NIDRS · pith_short_8: U6XZDNMN

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/U6XZDNMNHB4NIDRSR6ZFPCGIRX \
  | 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: a7af91b58d3878d40e328fb25788c88dc925783e831b095ee74b215d3087270f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3deb743ca40f676c9716f5961b1c7500fb4ae290765398457a4451377b127588",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-01-10T20:15:45Z",
    "title_canon_sha256": "1c4e908a9f3e11950ff45b7216d40dcbaddbce2cf8d1329c7bb04e9fe53dff65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2158",
    "kind": "arxiv",
    "version": 1
  }
}