Pith Number

pith:JBUGSMW6

pith:2005:JBUGSMW6X4CF74DGKR2AED7PBF

not attested not anchored not stored refs pending

Configurations in abelian categories. II. Ringel-Hall algebras

Dominic Joyce

arxiv:math/0503029 v4 · 2005-03-02 · math.AG · hep-th · math.RA · 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{JBUGSMW6X4CF74DGKR2AED7PBF}

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.

Cited by

1 paper in Pith

Hall Geometry and Auslander-Reiten Quiver

Receipt and verification

First computed	2026-05-18T01:05:23.706051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48686932debf045ff0665474020fef0958aee806ebcab7819d11d5de20e98afb

Aliases

arxiv: math/0503029 · arxiv_version: math/0503029v4 · doi: 10.48550/arxiv.math/0503029 · pith_short_12: JBUGSMW6X4CF · pith_short_16: JBUGSMW6X4CF74DG · pith_short_8: JBUGSMW6

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/JBUGSMW6X4CF74DGKR2AED7PBF \
  | 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: 48686932debf045ff0665474020fef0958aee806ebcab7819d11d5de20e98afb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38337230d551d23a6385a976a209d79a62f86cf946769eba0823585a1f2760d1",
    "cross_cats_sorted": [
      "hep-th",
      "math.RA",
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-03-02T10:04:14Z",
    "title_canon_sha256": "e0291b530e78f51baa2baa1d9bfb35b247ff8e2afe59729fe55c6693cfea2736"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0503029",
    "kind": "arxiv",
    "version": 4
  }
}