Pith Number

pith:A5Q2RHMR

pith:2025:A5Q2RHMROESJT4H6OHEWVC2ZEW

not attested not anchored not stored refs pending

Normed representations of weight quivers

Yu-Zhe Liu

arxiv:2507.06962 v2 · 2025-07-09 · math.RT · math.CT · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A5Q2RHMROESJT4H6OHEWVC2ZEW}

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	2026-07-05T11:37:25.510621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0761a89d91712499f0fe71c96a8b59259bdc8c7d34299cdc5b86f7afd2148e70

Aliases

arxiv: 2507.06962 · arxiv_version: 2507.06962v2 · doi: 10.48550/arxiv.2507.06962 · pith_short_12: A5Q2RHMROESJ · pith_short_16: A5Q2RHMROESJT4H6 · pith_short_8: A5Q2RHMR

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/A5Q2RHMROESJT4H6OHEWVC2ZEW \
  | 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: 0761a89d91712499f0fe71c96a8b59259bdc8c7d34299cdc5b86f7afd2148e70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "854ea058f85a95ae567b80c829ac5839a26e382a72304875fd35b501546ceb8d",
    "cross_cats_sorted": [
      "math.CT",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-07-09T15:49:07Z",
    "title_canon_sha256": "0483999ee4e0c1aa3e703debab94f94acfd1f7c827e091bfc7cbddc31125ef86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.06962",
    "kind": "arxiv",
    "version": 2
  }
}