Pith Number

pith:F355CXGK

pith:2012:F355CXGKEOTH4MUU2HYBPB4SV3

not attested not anchored not stored refs pending

Torsion points in families of Drinfeld modules

Dragos Ghioca, Liang-Chung Hsia

arxiv:1206.7047 v1 · 2012-06-29 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F355CXGKEOTH4MUU2HYBPB4SV3}

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	2026-05-18T03:52:13.130117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2efbd15cca23a67e3294d1f0178792aedc8a58db77bb58a3b7e115a4743ceab0

Aliases

arxiv: 1206.7047 · arxiv_version: 1206.7047v1 · doi: 10.48550/arxiv.1206.7047 · pith_short_12: F355CXGKEOTH · pith_short_16: F355CXGKEOTH4MUU · pith_short_8: F355CXGK

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/F355CXGKEOTH4MUU2HYBPB4SV3 \
  | 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: 2efbd15cca23a67e3294d1f0178792aedc8a58db77bb58a3b7e115a4743ceab0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fa3ac6a03185cff9312feed22c38ac76c82d80deacab69a1c0612a77d2c3a7e",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-06-29T15:07:58Z",
    "title_canon_sha256": "361c8b3a8443d0f8e07ec1704df703c670ad0fc5f70bbed1e837f4abc879739b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.7047",
    "kind": "arxiv",
    "version": 1
  }
}