Pith Number

pith:SHJF37HK

pith:2013:SHJF37HK6XZM3OOSTF3QYOBTHC

not attested not anchored not stored refs pending

Graded quantum cluster algebras and an application to quantum Grassmannians

Jan E. Grabowski, St\'ephane Launois

arxiv:1301.2133 v1 · 2013-01-10 · 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{SHJF37HK6XZM3OOSTF3QYOBTHC}

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	2026-05-18T02:32:22.706491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91d25dfceaf5f2cdb9d299770c383338adb3ad3efce2f0d52e302d3d5d8bd9bf

Aliases

arxiv: 1301.2133 · arxiv_version: 1301.2133v1 · doi: 10.48550/arxiv.1301.2133 · pith_short_12: SHJF37HK6XZM · pith_short_16: SHJF37HK6XZM3OOS · pith_short_8: SHJF37HK

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/SHJF37HK6XZM3OOSTF3QYOBTHC \
  | 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: 91d25dfceaf5f2cdb9d299770c383338adb3ad3efce2f0d52e302d3d5d8bd9bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16feb71b96164a07945eeea5161505b0277e634ab3f20508987a653c1e5afc8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-01-10T14:26:22Z",
    "title_canon_sha256": "9b8c719527a812f6c4868b9bd6e6b0a23ae66e858d2c3c196f616f4f01dfe7a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2133",
    "kind": "arxiv",
    "version": 1
  }
}