Pith Number

pith:AUBWOLK4

pith:2007:AUBWOLK4JRHZCJTSKMU43HSCMN

not attested not anchored not stored refs pending

The quantum dilogarithm and representations quantum cluster varieties

A. B. Goncharov, V. V. Fock

arxiv:math/0702397 v6 · 2007-02-13 · math.QA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AUBWOLK4JRHZCJTSKMU43HSCMN}

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

Parabolic skein modules

Receipt and verification

First computed	2026-07-04T17:08:33.946155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0503672d5c4c4f9126725329cd9e42634be46363b233621790f0d275c8e5fe11

Aliases

arxiv: math/0702397 · arxiv_version: math/0702397v6 · doi: 10.48550/arxiv.math/0702397 · pith_short_12: AUBWOLK4JRHZ · pith_short_16: AUBWOLK4JRHZCJTS · pith_short_8: AUBWOLK4

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/AUBWOLK4JRHZCJTSKMU43HSCMN \
  | 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: 0503672d5c4c4f9126725329cd9e42634be46363b233621790f0d275c8e5fe11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8b49c45dadfd51336eaa0b1562b711efcc30caf50f6daea70220121e982a93a",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2007-02-13T22:18:03Z",
    "title_canon_sha256": "6c71ca3b9a22e9a2b9075470c21882ee78fa764e5bb24b089e0c89b91c5b629f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702397",
    "kind": "arxiv",
    "version": 6
  }
}