Pith Number

pith:D4AH7UI6

pith:2019:D4AH7UI67WSZ24KLX44HK4RLFX

not attested not anchored not stored refs pending

A note on the normal largest gap between prime factors

G\'erald Tenenbaum

arxiv:1903.03428 v2 · 2019-02-27 · 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{D4AH7UI67WSZ24KLX44HK4RLFX}

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	2026-05-17T23:47:25.457473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f007fd11efda59d714bbf3875722b2dd325927ecd857d03f53aa0111bbfbd51

Aliases

arxiv: 1903.03428 · arxiv_version: 1903.03428v2 · doi: 10.48550/arxiv.1903.03428 · pith_short_12: D4AH7UI67WSZ · pith_short_16: D4AH7UI67WSZ24KL · pith_short_8: D4AH7UI6

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/D4AH7UI67WSZ24KLX44HK4RLFX \
  | 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: 1f007fd11efda59d714bbf3875722b2dd325927ecd857d03f53aa0111bbfbd51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36dc675b204870fffec0c156cc6308a3658346d310845a8bfa3fc4c864c81904",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-02-27T14:20:53Z",
    "title_canon_sha256": "8d0d935f7427a8687767eba91023ce9bbe339bfa49bef026d418af1d21945b21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.03428",
    "kind": "arxiv",
    "version": 2
  }
}