Pith Number

pith:4NKOMW3V

pith:2010:4NKOMW3VYEEGLUZKMCAXAFS4KZ

not attested not anchored not stored refs pending

Periodicities in cluster algebras and dilogarithm identities

Tomoki Nakanishi

arxiv:1006.0632 v5 · 2010-06-03 · 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{4NKOMW3VYEEGLUZKMCAXAFS4KZ}

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	2026-05-18T04:11:06.115839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e354e65b75c10865d32a608170165c567fe205151263ef4aa437881c44eb4b5f

Aliases

arxiv: 1006.0632 · arxiv_version: 1006.0632v5 · doi: 10.48550/arxiv.1006.0632 · pith_short_12: 4NKOMW3VYEEG · pith_short_16: 4NKOMW3VYEEGLUZK · pith_short_8: 4NKOMW3V

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/4NKOMW3VYEEGLUZKMCAXAFS4KZ \
  | 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: e354e65b75c10865d32a608170165c567fe205151263ef4aa437881c44eb4b5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "566810cc632b70cc98227643e86f88783bfc855681163c7f472c2bed0b4d66da",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-06-03T12:20:02Z",
    "title_canon_sha256": "0ffbf26d79d87d8dd84689974e7af1a3c820218b38016297cffce72250d55968"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0632",
    "kind": "arxiv",
    "version": 5
  }
}