Pith Number

pith:6NIWLOSJ

pith:2009:6NIWLOSJOCYGB7V5TYXURIMPT4

not attested not anchored not stored refs pending

The double Ringel-Hall algebra on a hereditary abelian finitary length category

Jie Xiao, Qunhua Liu, Rujing Dou

arxiv:0908.1666 v1 · 2009-08-12 · math.RT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6NIWLOSJOCYGB7V5TYXURIMPT4}

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	2026-05-18T02:12:35.106897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f35165ba4970b060febd9e2f48a18f9f3e882a96916a50819052a16564aa2e9d

Aliases

arxiv: 0908.1666 · arxiv_version: 0908.1666v1 · doi: 10.48550/arxiv.0908.1666 · pith_short_12: 6NIWLOSJOCYG · pith_short_16: 6NIWLOSJOCYGB7V5 · pith_short_8: 6NIWLOSJ

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/6NIWLOSJOCYGB7V5TYXURIMPT4 \
  | 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: f35165ba4970b060febd9e2f48a18f9f3e882a96916a50819052a16564aa2e9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d59391e2371a1541d5cfec3b2b54150a18c038a5f5bc1638fcb5188a467c79fc",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-08-12T10:12:48Z",
    "title_canon_sha256": "f40fb35c9a14b75fb9e0e0ae68730fc85c51c8da4e65d758a18f9ef6aa0a866d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.1666",
    "kind": "arxiv",
    "version": 1
  }
}