Pith Number

pith:C3KEPHFK

pith:2004:C3KEPHFKYZCHV23R4WURR2LVEB

not attested not anchored not stored refs pending

Submodule Categories of Wild Representation Type

Claus Michael Ringel, Markus Schmidmeier

arxiv:math/0409417 v1 · 2004-09-21 · math.RT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C3KEPHFKYZCHV23R4WURR2LVEB}

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	2026-05-17T23:42:09.276869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16d4479caac6447aeb71e5a918e97520431deec549576c1b2f7438e3905c8c60

Aliases

arxiv: math/0409417 · arxiv_version: math/0409417v1 · doi: 10.48550/arxiv.math/0409417 · pith_short_12: C3KEPHFKYZCH · pith_short_16: C3KEPHFKYZCHV23R · pith_short_8: C3KEPHFK

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/C3KEPHFKYZCHV23R4WURR2LVEB \
  | 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: 16d4479caac6447aeb71e5a918e97520431deec549576c1b2f7438e3905c8c60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f4c2092ba169d92ef261e4345974442d5151d98e5e7c17c3acbdc5fc4310e7c",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2004-09-21T22:51:01Z",
    "title_canon_sha256": "69807f95e5cb479b7982e57ff0fad016e90def9a31643c29bf8557592b8f2df1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0409417",
    "kind": "arxiv",
    "version": 1
  }
}