Pith Number

pith:PJERIFTI

pith:2012:PJERIFTIKPDITJPISO7ZOAD4Q2

not attested not anchored not stored refs pending

The filled Julia set of a Drinfeld module and uniform bounds for torsion

Patrick Ingram

arxiv:1210.3059 v2 · 2012-10-10 · 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{PJERIFTIKPDITJPISO7ZOAD4Q2}

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	2026-05-18T03:16:29.079093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a4914166853c689a5e893bf97007c86ba6a3f47345b7722b1b3ee89392389e2

Aliases

arxiv: 1210.3059 · arxiv_version: 1210.3059v2 · doi: 10.48550/arxiv.1210.3059 · pith_short_12: PJERIFTIKPDI · pith_short_16: PJERIFTIKPDITJPI · pith_short_8: PJERIFTI

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/PJERIFTIKPDITJPISO7ZOAD4Q2 \
  | 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: 7a4914166853c689a5e893bf97007c86ba6a3f47345b7722b1b3ee89392389e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54e2ecdc4287290817fa632538f067d806148aa3e8907a7d85ee36efc428e591",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-10-10T20:54:28Z",
    "title_canon_sha256": "ffdee0214d5fdefed19a8aa8312faffe6603f5b0344c34a51158d66282a0039e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3059",
    "kind": "arxiv",
    "version": 2
  }
}