Pith Number

pith:GL3RKSM5

pith:2011:GL3RKSM5CYRN3Z5EZ673IK7HQP

not attested not anchored not stored refs pending

Companion bases for cluster-tilted algebras

Mark James Parsons

arxiv:1111.0450 v1 · 2011-11-02 · 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{GL3RKSM5CYRN3Z5EZ673IK7HQP}

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	2026-05-18T04:09:44.938892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32f715499d1622dde7a4cfbfb42be783e491d5dceb1911f9c238d3cb9b3dde45

Aliases

arxiv: 1111.0450 · arxiv_version: 1111.0450v1 · doi: 10.48550/arxiv.1111.0450 · pith_short_12: GL3RKSM5CYRN · pith_short_16: GL3RKSM5CYRN3Z5E · pith_short_8: GL3RKSM5

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/GL3RKSM5CYRN3Z5EZ673IK7HQP \
  | 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: 32f715499d1622dde7a4cfbfb42be783e491d5dceb1911f9c238d3cb9b3dde45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e91c3177fbe21a15f6691a3a56a882da30d831e06b9e289f14761d61e7978fd4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-11-02T10:23:01Z",
    "title_canon_sha256": "ce7dc342c104e87b51a75631ffa83059eeb03d98564fc74bbc36739ce6e3ba4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0450",
    "kind": "arxiv",
    "version": 1
  }
}