Pith Number

pith:D6A7IDVX

pith:1996:D6A7IDVXTYSW2PT2EHBKIQ5PHE

not attested not anchored not stored refs pending

On the semi-simplicity of the $U_p$-operator on modular forms

Bas Edixhoven, Robert F. Coleman

arxiv:alg-geom/9611013 v1 · 1996-11-12 · alg-geom · 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{D6A7IDVXTYSW2PT2EHBKIQ5PHE}

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.

Cited by

1 paper in Pith

The Unipotent Chabauty-Kim-Kantor Method for Relative Completions

Receipt and verification

First computed	2026-07-04T15:08:07.375342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f81f40eb79e256d3e7a21c2a443af393d3be7dd83eec19fb93e2045a658c365

Aliases

arxiv: alg-geom/9611013 · arxiv_version: alg-geom/9611013v1 · doi: 10.48550/arxiv.alg-geom/9611013 · pith_short_12: D6A7IDVXTYSW · pith_short_16: D6A7IDVXTYSW2PT2 · pith_short_8: D6A7IDVX

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/D6A7IDVXTYSW2PT2EHBKIQ5PHE \
  | 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: 1f81f40eb79e256d3e7a21c2a443af393d3be7dd83eec19fb93e2045a658c365

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dba973096cdc58016f9fcec83ad86b19bec3f4dd3ed9ec4856a944919ec9abc5",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "alg-geom",
    "submitted_at": "1996-11-12T12:57:18Z",
    "title_canon_sha256": "89d90264f66d6a14870395e1686b520a1fee3b007872e9fd493904c4cd4fbb08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "alg-geom/9611013",
    "kind": "arxiv",
    "version": 1
  }
}