Pith Number

pith:G4FGGEN7

pith:2005:G4FGGEN7FYMR2FQ526RHIYB2NH

not attested not anchored not stored refs pending

A Pseduo-Twin Primes Theorem

Alex V. Kontorovich

arxiv:math/0507569 v3 · 2005-07-27 · 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{G4FGGEN7FYMR2FQ526RHIYB2NH}

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	2026-05-18T04:42:35.500866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

370a6311bf2e191d161dd7a274603a69e703345ead0109481b055ed8721dbcb8

Aliases

arxiv: math/0507569 · arxiv_version: math/0507569v3 · doi: 10.48550/arxiv.math/0507569 · pith_short_12: G4FGGEN7FYMR · pith_short_16: G4FGGEN7FYMR2FQ5 · pith_short_8: G4FGGEN7

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/G4FGGEN7FYMR2FQ526RHIYB2NH \
  | 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: 370a6311bf2e191d161dd7a274603a69e703345ead0109481b055ed8721dbcb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "761b6c57fc2e778081eac090ee66a5b82e2a7110abaf2207f3aa1cd50af0c92f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2005-07-27T18:52:05Z",
    "title_canon_sha256": "0f523e30acf44b50b787bfa3e638d5be983d85742724705dbf4bb9253cf3fc16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0507569",
    "kind": "arxiv",
    "version": 3
  }
}