Pith Number

pith:HRI6EX3G

pith:2007:HRI6EX3G7XHAOZH4ARHNIP7RLA

not attested not anchored not stored refs pending

Primes in a prescribed arithmetic progression dividing the sequence a^k+b^k

B. Sury, P. Moree

arxiv:math/0703925 v1 · 2007-03-30 · 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{HRI6EX3G7XHAOZH4ARHNIP7RLA}

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	2026-05-18T03:49:58.840941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c51e25f66fdce0764fc044ed43ff15821e2cff92f6d26d89a017021571525e7

Aliases

arxiv: math/0703925 · arxiv_version: math/0703925v1 · doi: 10.48550/arxiv.math/0703925 · pith_short_12: HRI6EX3G7XHA · pith_short_16: HRI6EX3G7XHAOZH4 · pith_short_8: HRI6EX3G

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/HRI6EX3G7XHAOZH4ARHNIP7RLA \
  | 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: 3c51e25f66fdce0764fc044ed43ff15821e2cff92f6d26d89a017021571525e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c66c56ba48cc495345cea8b30aa2199036df6b8cded41163856adbee34b7bac",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2007-03-30T15:50:11Z",
    "title_canon_sha256": "449fd3c07b438151f1b72e94195a11f9de124521521b2213b99deee7b80c8b43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703925",
    "kind": "arxiv",
    "version": 1
  }
}