Pith Number

pith:52ZJVVTC

pith:2004:52ZJVVTCHIS6J2L2TDO3G2NNBO

not attested not anchored not stored refs pending

Subrepresentations of Kronecker representations

Yang Han

arxiv:math/0403088 v2 · 2004-03-04 · 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{52ZJVVTCHIS6J2L2TDO3G2NNBO}

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	2026-07-04T14:38:17.327008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eeb29ad6623a25e4e97a98ddb369ad0b8f22a994d078d4f4ee69c20dd9959718

Aliases

arxiv: math/0403088 · arxiv_version: math/0403088v2 · doi: 10.48550/arxiv.math/0403088 · pith_short_12: 52ZJVVTCHIS6 · pith_short_16: 52ZJVVTCHIS6J2L2 · pith_short_8: 52ZJVVTC

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/52ZJVVTCHIS6J2L2TDO3G2NNBO \
  | 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: eeb29ad6623a25e4e97a98ddb369ad0b8f22a994d078d4f4ee69c20dd9959718

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3fb550e35903cafcccd059b20c9dbe9f7f7529865f4e75006477303c615c190",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2004-03-04T02:57:09Z",
    "title_canon_sha256": "b21ffd08563c7c6f55e94d76d7be15a7ef06f17d416afb27b52128615e9c2fd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0403088",
    "kind": "arxiv",
    "version": 2
  }
}