Pith Number

pith:C3E6DMML

pith:2011:C3E6DMMLFTOQ4T6EIKYT3NUCZJ

not attested not anchored not stored refs pending

Effective convergence bounds for Frobenius structures on connections

Jan Tuitman, Kiran S. Kedlaya

arxiv:1111.0136 v2 · 2011-11-01 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C3E6DMMLFTOQ4T6EIKYT3NUCZJ}

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	2026-05-18T04:04:44.626962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16c9e1b18b2cdd0e4fc442b13db682ca41e208874bc78f8867ce519cafab51cc

Aliases

arxiv: 1111.0136 · arxiv_version: 1111.0136v2 · doi: 10.48550/arxiv.1111.0136 · pith_short_12: C3E6DMMLFTOQ · pith_short_16: C3E6DMMLFTOQ4T6E · pith_short_8: C3E6DMML

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/C3E6DMMLFTOQ4T6EIKYT3NUCZJ \
  | 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: 16c9e1b18b2cdd0e4fc442b13db682ca41e208874bc78f8867ce519cafab51cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35db6b83d9070e49c67922a8120a7c156af8bcdfbb4e7f5c7f9b6bbecfdab06a",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-11-01T08:05:52Z",
    "title_canon_sha256": "2575ed29660956e7b421c956063eec7ec1711bbad5507d434af6848cdbee5f93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0136",
    "kind": "arxiv",
    "version": 2
  }
}