Pith Number

pith:PHXYTUX5

pith:2011:PHXYTUX5MTYHDSOOSRRJZVLXVC

not attested not anchored not stored refs pending

Quivers with potentials associated to triangulated surfaces, Part III: tagged triangulations and cluster monomials

Daniel Labardini-Fragoso, Giovanni Cerulli Irelli

arxiv:1108.1774 v4 · 2011-08-08 · 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{PHXYTUX5MTYHDSOOSRRJZVLXVC}

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	2026-05-17T23:53:19.297970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79ef89d2fd64f071c9ce94629cd577a8b0add017300b31c1641e3ee52ff32e21

Aliases

arxiv: 1108.1774 · arxiv_version: 1108.1774v4 · doi: 10.48550/arxiv.1108.1774 · pith_short_12: PHXYTUX5MTYH · pith_short_16: PHXYTUX5MTYHDSOO · pith_short_8: PHXYTUX5

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/PHXYTUX5MTYHDSOOSRRJZVLXVC \
  | 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: 79ef89d2fd64f071c9ce94629cd577a8b0add017300b31c1641e3ee52ff32e21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adb082bfcc7c4fa384165bfb385c304d3309ab8f676c39ab1f90c4c1d868364e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-08-08T18:24:46Z",
    "title_canon_sha256": "0ee0319072496a0fd17ef04c33bb7d70d3988e6dea8736bb7d5b2bd7e0992ec7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1774",
    "kind": "arxiv",
    "version": 4
  }
}