Pith Number

pith:ZD4ORY5O

pith:2013:ZD4ORY5OHVDBLMLWLYDGZ7U2XX

not attested not anchored not stored refs pending

The Bridgeland's Ringel-Hall algebra associated to an algebra with global dimension at most two

Liangang Peng, Shengfei Geng

arxiv:1309.0998 v2 · 2013-09-04 · 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{ZD4ORY5OHVDBLMLWLYDGZ7U2XX}

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	2026-05-17T23:48:02.647540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8f8e8e3ae3d4615b1765e066cfe9abdcad2fa87821d49fd8dde756a364e269e

Aliases

arxiv: 1309.0998 · arxiv_version: 1309.0998v2 · doi: 10.48550/arxiv.1309.0998 · pith_short_12: ZD4ORY5OHVDB · pith_short_16: ZD4ORY5OHVDBLMLW · pith_short_8: ZD4ORY5O

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/ZD4ORY5OHVDBLMLWLYDGZ7U2XX \
  | 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: c8f8e8e3ae3d4615b1765e066cfe9abdcad2fa87821d49fd8dde756a364e269e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bc72669f50944843c98fd511e4321fcdfa00ccfaa3b6081e98442b73ab42236",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-09-04T12:17:11Z",
    "title_canon_sha256": "029a4179fe26d560726ef8627029ed41e8071791d860b4e9abb64746ec830778"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0998",
    "kind": "arxiv",
    "version": 2
  }
}