Pith Number

pith:QJG57OKV

pith:2011:QJG57OKV54FWGULDGSL5KJLL45

not attested not anchored not stored refs pending

Large strings of consecutive smooth integers

Filip Najman

arxiv:1108.3710 v1 · 2011-08-18 · 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{QJG57OKV54FWGULDGSL5KJLL45}

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	2026-05-18T04:07:52.405179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

824ddfb955ef0b6351633497d5256be7563342c0421e11229d1d70440e835ea7

Aliases

arxiv: 1108.3710 · arxiv_version: 1108.3710v1 · doi: 10.48550/arxiv.1108.3710 · pith_short_12: QJG57OKV54FW · pith_short_16: QJG57OKV54FWGULD · pith_short_8: QJG57OKV

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/QJG57OKV54FWGULDGSL5KJLL45 \
  | 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: 824ddfb955ef0b6351633497d5256be7563342c0421e11229d1d70440e835ea7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27686a855d7a7893dd796856be2f8099313cc7fe9086a594a47ef06e822ff7d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-08-18T10:46:25Z",
    "title_canon_sha256": "85380ea5cfacc31048d0ee8a454e9aecce937ab3370eead4be7e92aaa5ad8f5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3710",
    "kind": "arxiv",
    "version": 1
  }
}