Pith Number

pith:BRGAIRBF

pith:2002:BRGAIRBFHARHXKHZLFQ2IGYVGU

not attested not anchored not stored refs pending

Families of noncongruent numbers

Franz Lemmermeyer

arxiv:math/0202311 v1 · 2002-02-13 · 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{BRGAIRBFHARHXKHZLFQ2IGYVGU}

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	2026-05-18T01:38:29.641657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c4c04442538227ba8f95961a41b15352788dad17262b78dd9106ebac532db6d

Aliases

arxiv: math/0202311 · arxiv_version: math/0202311v1 · doi: 10.48550/arxiv.math/0202311 · pith_short_12: BRGAIRBFHARH · pith_short_16: BRGAIRBFHARHXKHZ · pith_short_8: BRGAIRBF

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/BRGAIRBFHARHXKHZLFQ2IGYVGU \
  | 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: 0c4c04442538227ba8f95961a41b15352788dad17262b78dd9106ebac532db6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13f8fb4994e5ca604bf0ee12a9b39ca0ebc250df4e9622032290f59659e88b54",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2002-02-13T00:00:00Z",
    "title_canon_sha256": "331ac1dd6ca4abee5f71c87870038cd7064bf2338e879a313ffdd75db753757d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0202311",
    "kind": "arxiv",
    "version": 1
  }
}