Pith Number

pith:SOBGH6EN

pith:2010:SOBGH6ENRWVT5NOSKFPT3U7TZC

not attested not anchored not stored refs pending

The Repulsion Motif in Diophantine Equations

Graham Everest, Thomas Ward

arxiv:1005.0315 v3 · 2010-05-03 · 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{SOBGH6ENRWVT5NOSKFPT3U7TZC}

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	2026-05-18T03:24:54.524292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

938263f88d8dab3eb5d2515f3dd3f3c8b30313fda69f86a1a52e1cdd8069115f

Aliases

arxiv: 1005.0315 · arxiv_version: 1005.0315v3 · doi: 10.48550/arxiv.1005.0315 · pith_short_12: SOBGH6ENRWVT · pith_short_16: SOBGH6ENRWVT5NOS · pith_short_8: SOBGH6EN

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/SOBGH6ENRWVT5NOSKFPT3U7TZC \
  | 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: 938263f88d8dab3eb5d2515f3dd3f3c8b30313fda69f86a1a52e1cdd8069115f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da8689972f900611d2c3b6aff602f5058f74438ff12e0bf0f1c5419e135c53c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-05-03T15:06:30Z",
    "title_canon_sha256": "ab0ad1346b532a6cf69eb2dd8c7229aae4f2bd7f417418668b005fbef92f4be1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.0315",
    "kind": "arxiv",
    "version": 3
  }
}