Pith Number

pith:VP2O6BIH

pith:2013:VP2O6BIHZTLLYY2TRW5RU7GX7W

not attested not anchored not stored refs pending

Quantum cluster characters of Hall algebras

Arkady Berenstein, Dylan Rupel

arxiv:1308.2992 v2 · 2013-08-13 · math.QA · 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{VP2O6BIHZTLLYY2TRW5RU7GX7W}

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	2026-05-18T00:14:16.875016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abf4ef0507ccd6bc63538dbb1a7cd7fd9cdcfd8d709baf5c18b22f0d700aa1c1

Aliases

arxiv: 1308.2992 · arxiv_version: 1308.2992v2 · doi: 10.48550/arxiv.1308.2992 · pith_short_12: VP2O6BIHZTLL · pith_short_16: VP2O6BIHZTLLYY2T · pith_short_8: VP2O6BIH

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/VP2O6BIHZTLLYY2TRW5RU7GX7W \
  | 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: abf4ef0507ccd6bc63538dbb1a7cd7fd9cdcfd8d709baf5c18b22f0d700aa1c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fda7a0e00018211638d802bc3f38b3b5bc538c49e879a1ae9e4d81566a1f884",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-08-13T22:53:26Z",
    "title_canon_sha256": "4b1834be2760c40a2d2b0009beb1b91f9ad20f92cad65ba6cb3ec6f1d5927d2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2992",
    "kind": "arxiv",
    "version": 2
  }
}