Pith Number

pith:PNNPW2JW

pith:2003:PNNPW2JWEEUEKB6NN6BGVLBMUQ

not attested not anchored not stored refs pending

Toward a dynamical model for prime numbers

Claudio Bonanno, Mirko S. Mega

arxiv:cond-mat/0309251 v1 · 2003-09-10 · cond-mat

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PNNPW2JWEEUEKB6NN6BGVLBMUQ}

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	2026-05-18T01:39:59.251082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b5afb693621284507cd6f826aac2ca42baacacb9d1cf7f886a0c3fb190f9c31

Aliases

arxiv: cond-mat/0309251 · arxiv_version: cond-mat/0309251v1 · doi: 10.48550/arxiv.cond-mat/0309251 · pith_short_12: PNNPW2JWEEUE · pith_short_16: PNNPW2JWEEUEKB6N · pith_short_8: PNNPW2JW

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/PNNPW2JWEEUEKB6NN6BGVLBMUQ \
  | 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: 7b5afb693621284507cd6f826aac2ca42baacacb9d1cf7f886a0c3fb190f9c31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2d3c9df82743e7cdfd42abf0589af8248c2632f1e3d03fd7121024c42c69092",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat",
    "submitted_at": "2003-09-10T13:52:46Z",
    "title_canon_sha256": "1f7e1c0d82876fb907d32a21733180cdfaf6bae5f43669e1db1f23c2b2dc205c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0309251",
    "kind": "arxiv",
    "version": 1
  }
}