Pith Number

pith:7GVAVYHT

pith:2013:7GVAVYHT57YZHRCY3LR3W6SQPV

not attested not anchored not stored refs pending

Integral points on rational curves of the form y=(x^2+bx+c)/(x+a); a,b,c integers

Konstantine Zelator

arxiv:1301.0758 v1 · 2013-01-02 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7GVAVYHT57YZHRCY3LR3W6SQPV}

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	2026-05-18T03:37:17.674251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9aa0ae0f3eff193c458dae3bb7a507d7c0f2a5a62e826b28e376e84b5a0b5c9

Aliases

arxiv: 1301.0758 · arxiv_version: 1301.0758v1 · doi: 10.48550/arxiv.1301.0758 · pith_short_12: 7GVAVYHT57YZ · pith_short_16: 7GVAVYHT57YZHRCY · pith_short_8: 7GVAVYHT

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/7GVAVYHT57YZHRCY3LR3W6SQPV \
  | 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: f9aa0ae0f3eff193c458dae3bb7a507d7c0f2a5a62e826b28e376e84b5a0b5c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dad8df466cb4b070aef486fa2c32b3f813071523d06a71b5da98d619d93fb63c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2013-01-02T21:24:25Z",
    "title_canon_sha256": "b621e3f476635c22c742fd02a5c19d663183adda7fc74c60f00ff942cb4f30ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0758",
    "kind": "arxiv",
    "version": 1
  }
}