Pith Number

pith:XFXFBVQW

pith:2012:XFXFBVQWO2GELDU7KT3HVJVLUF

not attested not anchored not stored refs pending

The Tate-Voloch Conjecture in a Power of a Modular Curve

Philipp Habegger

arxiv:1210.3299 v2 · 2012-10-11 · 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{XFXFBVQWO2GELDU7KT3HVJVLUF}

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	2026-05-18T03:35:13.620655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b96e50d616768c458e9f54f67aa6aba14a5e775a5dd530a346b4e0e1a16607de

Aliases

arxiv: 1210.3299 · arxiv_version: 1210.3299v2 · doi: 10.48550/arxiv.1210.3299 · pith_short_12: XFXFBVQWO2GE · pith_short_16: XFXFBVQWO2GELDU7 · pith_short_8: XFXFBVQW

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/XFXFBVQWO2GELDU7KT3HVJVLUF \
  | 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: b96e50d616768c458e9f54f67aa6aba14a5e775a5dd530a346b4e0e1a16607de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b23049a7a100645008d175b7b55c08c69c0f669aa61a5a777939745119edd859",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-10-11T17:05:10Z",
    "title_canon_sha256": "eee38944f7bae4e53ca4b46b9bde433ab52e040dcbc9344cf92f45a5caf0ab8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3299",
    "kind": "arxiv",
    "version": 2
  }
}