Pith Number

pith:5O327IEG

pith:2006:5O327IEGPLQIZ5DSSB3U2LNVGD

not attested not anchored not stored refs pending

Succinct certificates for solutions to binary quadratic Diophantine equations

J. C. Lagarias

arxiv:math/0611209 v2 · 2006-11-08 · 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{5O327IEGPLQIZ5DSSB3U2LNVGD}

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	2026-05-18T04:16:31.122649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebb7afa0867ae08cf47290774d2db530d72433e0b14bb005ffe0df31c72a2185

Aliases

arxiv: math/0611209 · arxiv_version: math/0611209v2 · doi: 10.48550/arxiv.math/0611209 · pith_short_12: 5O327IEGPLQI · pith_short_16: 5O327IEGPLQIZ5DS · pith_short_8: 5O327IEG

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/5O327IEGPLQIZ5DSSB3U2LNVGD \
  | 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: ebb7afa0867ae08cf47290774d2db530d72433e0b14bb005ffe0df31c72a2185

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bf00dca14c2625c84c2237c8eacfad5410afa06bf361e28fe7bd0c7a099300b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2006-11-08T02:06:04Z",
    "title_canon_sha256": "32f498f238e3fd66f69775507b5dad15ec51f6b7ca711ed8eaaecccbc917b275"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611209",
    "kind": "arxiv",
    "version": 2
  }
}