Pith Number

pith:P7J4J7HC

pith:2008:P7J4J7HCGFAUANCHOHSUAQM7NY

not attested not anchored not stored refs pending

More Discriminants with the Brezing-Weng Method

Gaetan Bisson, Takakazu Satoh

arxiv:0803.3894 v2 · 2008-03-27 · 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{P7J4J7HCGFAUANCHOHSUAQM7NY}

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	2026-05-18T03:33:27.126239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fd3c4fce2314140344771e540419f6e076956b057af15765afdb31264bbdfcb

Aliases

arxiv: 0803.3894 · arxiv_version: 0803.3894v2 · doi: 10.48550/arxiv.0803.3894 · pith_short_12: P7J4J7HCGFAU · pith_short_16: P7J4J7HCGFAUANCH · pith_short_8: P7J4J7HC

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/P7J4J7HCGFAUANCHOHSUAQM7NY \
  | 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: 7fd3c4fce2314140344771e540419f6e076956b057af15765afdb31264bbdfcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a75180c3b490c770c0764ddf8069ed15d621514e953d057580390614c7f6c549",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-03-27T12:12:41Z",
    "title_canon_sha256": "64645746b0a5c77beadd8c16dd09ac448ae5d24b2d375e4b6eaee9b0ef526acb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.3894",
    "kind": "arxiv",
    "version": 2
  }
}