Pith Number

pith:VVLCSZM4

pith:2011:VVLCSZM4JEGUU2HQC7UI24JFWA

not attested not anchored not stored refs pending

On a conjecture of Pomerance

L. Hajdu, N. Saradha, R. Tijdeman

arxiv:1107.5191 v1 · 2011-07-26 · 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{VVLCSZM4JEGUU2HQC7UI24JFWA}

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	2026-05-18T04:16:52.777005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad5629659c490d4a68f017e88d7125b0008c33b8d9f1dcab487603cafc4809a3

Aliases

arxiv: 1107.5191 · arxiv_version: 1107.5191v1 · doi: 10.48550/arxiv.1107.5191 · pith_short_12: VVLCSZM4JEGU · pith_short_16: VVLCSZM4JEGUU2HQ · pith_short_8: VVLCSZM4

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/VVLCSZM4JEGUU2HQC7UI24JFWA \
  | 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: ad5629659c490d4a68f017e88d7125b0008c33b8d9f1dcab487603cafc4809a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40a5e34cf2d90f2ed5b7bdce3b7360189dcfaf8fac44832e6f89916fdd279af3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-07-26T12:15:25Z",
    "title_canon_sha256": "ee48e183044d29a4d4b915087110bfabcc88b0a8ab6906b47f70cfa42585c771"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5191",
    "kind": "arxiv",
    "version": 1
  }
}