Pith Number

pith:YIX7CWQW

pith:2009:YIX7CWQWDNRBQK4CHM4GA6YHGP

not attested not anchored not stored refs pending

The Gabriel-Roiter measure for $\widetilde{\mathbb{A}}_n$ II

Bo Chen

arxiv:0909.5594 v2 · 2009-09-30 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YIX7CWQWDNRBQK4CHM4GA6YHGP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:40:30.814568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c22ff15a161b62182b823b38607b0733c0bd339d70a8799ed975b48a8976d0b5

Aliases

arxiv: 0909.5594 · arxiv_version: 0909.5594v2 · doi: 10.48550/arxiv.0909.5594 · pith_short_12: YIX7CWQWDNRB · pith_short_16: YIX7CWQWDNRBQK4C · pith_short_8: YIX7CWQW

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/YIX7CWQWDNRBQK4CHM4GA6YHGP \
  | 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: c22ff15a161b62182b823b38607b0733c0bd339d70a8799ed975b48a8976d0b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4981c8a403c888bc1d2255fe9dff1a49d93872d785057cae038856453bfb6756",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-09-30T12:29:11Z",
    "title_canon_sha256": "b3a352d6982d3b1264c1b066111f508857d21effc71739951a8b056ac3bd85de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.5594",
    "kind": "arxiv",
    "version": 2
  }
}