Pith Number

pith:VAIUTFRC

pith:2011:VAIUTFRCNR3U3SJAOPF3AGVRII

not attested not anchored not stored refs pending

Regularities of Twin, Triplet and Multiplet Prime Numbers

H. J. Weber

arxiv:1103.0447 v3 · 2011-03-02 · 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{VAIUTFRCNR3U3SJAOPF3AGVRII}

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	2026-05-18T03:56:08.646406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8114996226c774dc92073cbb01ab142191b855f1a73d793ea942c78f748d87b

Aliases

arxiv: 1103.0447 · arxiv_version: 1103.0447v3 · doi: 10.48550/arxiv.1103.0447 · pith_short_12: VAIUTFRCNR3U · pith_short_16: VAIUTFRCNR3U3SJA · pith_short_8: VAIUTFRC

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/VAIUTFRCNR3U3SJAOPF3AGVRII \
  | 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: a8114996226c774dc92073cbb01ab142191b855f1a73d793ea942c78f748d87b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27d4efc5083fb2425ba0f405a543245dff976a77ca1e0cc343f6680970f12f18",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-03-02T14:52:51Z",
    "title_canon_sha256": "612cb8b595260d307de00722e3da3086bca3f3582341d3fbc142a6310de13be9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0447",
    "kind": "arxiv",
    "version": 3
  }
}