Pith Number

pith:CEC7PHJ2

pith:2003:CEC7PHJ2K6WMGQ5D54UIEUB6RI

not attested not anchored not stored refs pending

Branching problems of unitary representations

Toshiyuki Kobayashi

arxiv:math/0304326 v1 · 2003-04-22 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CEC7PHJ2K6WMGQ5D54UIEUB6RI}

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	2026-05-18T04:19:33.696896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1105f79d3a57acc343a3ef2882503e8a1263e8f664e5caf51ad4b1553d1eedef

Aliases

arxiv: math/0304326 · arxiv_version: math/0304326v1 · doi: 10.48550/arxiv.math/0304326 · pith_short_12: CEC7PHJ2K6WM · pith_short_16: CEC7PHJ2K6WMGQ5D · pith_short_8: CEC7PHJ2

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/CEC7PHJ2K6WMGQ5D54UIEUB6RI \
  | 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: 1105f79d3a57acc343a3ef2882503e8a1263e8f664e5caf51ad4b1553d1eedef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebe5a476fb891e0699803db7b19f67c8937a6ab20de32b93305adee67749efd9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2003-04-22T17:43:45Z",
    "title_canon_sha256": "2d1be3cbe81fc54dc2d484c33337f0fee24b1294173dcfbec7ef4cd8ede54783"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0304326",
    "kind": "arxiv",
    "version": 1
  }
}