Pith Number

pith:GAQZHJLX

pith:2015:GAQZHJLXKX2EPDO7SQXI4TID45

not attested not anchored not stored refs pending

Quasi-homomorphisms of cluster algebras

Chris Fraser

arxiv:1509.05385 v2 · 2015-09-17 · math.RA · math.AC · math.CO · 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{GAQZHJLXKX2EPDO7SQXI4TID45}

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	2026-05-18T01:22:50.464406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

302193a57755f4478ddf942e8e4d03e77757347b3eab1b44ff1ac870980e1fdb

Aliases

arxiv: 1509.05385 · arxiv_version: 1509.05385v2 · doi: 10.48550/arxiv.1509.05385 · pith_short_12: GAQZHJLXKX2E · pith_short_16: GAQZHJLXKX2EPDO7 · pith_short_8: GAQZHJLX

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/GAQZHJLXKX2EPDO7SQXI4TID45 \
  | 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: 302193a57755f4478ddf942e8e4d03e77757347b3eab1b44ff1ac870980e1fdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6131730b244ac0ce37e53e5a638887d099f9e04e695d350b84a614b2c035c66",
    "cross_cats_sorted": [
      "math.AC",
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-09-17T19:26:52Z",
    "title_canon_sha256": "c5269390a0ea93e4fc11f6833a0fa1614eeef19c94634b574caf9acdbcf800f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05385",
    "kind": "arxiv",
    "version": 2
  }
}