Pith Number

pith:OKBA7WP4

pith:2010:OKBA7WP4QZQUOCF73FSEUPGBWC

not attested not anchored not stored refs pending

A note on the spectral properties of cluster algebras

Elsa Fern\'andez, Mar\'ia In\'es Platzeck

arxiv:1011.5520 v1 · 2010-11-24 · 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{OKBA7WP4QZQUOCF73FSEUPGBWC}

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	2026-05-18T04:34:45.597011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72820fd9fc86614708bfd9644a3cc1b0ad4fc2a84458cca7fa34dd3f697be3bd

Aliases

arxiv: 1011.5520 · arxiv_version: 1011.5520v1 · doi: 10.48550/arxiv.1011.5520 · pith_short_12: OKBA7WP4QZQU · pith_short_16: OKBA7WP4QZQUOCF7 · pith_short_8: OKBA7WP4

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/OKBA7WP4QZQUOCF73FSEUPGBWC \
  | 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: 72820fd9fc86614708bfd9644a3cc1b0ad4fc2a84458cca7fa34dd3f697be3bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ede48c47c902b5623b9fcc8771b23610107e01c8ce6074bf9c72a55415206ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-11-24T22:04:05Z",
    "title_canon_sha256": "8867e36373c14aafcef89f6c2ad796faba9e4b9c30fdb119b0d15449ce3b2e87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5520",
    "kind": "arxiv",
    "version": 1
  }
}