Pith Number

pith:WLMF5POV

pith:2006:WLMF5POVZCXU6NVNPWEDZHNO7H

not attested not anchored not stored refs pending

Cluster algebras and triangulated surfaces. Part I: Cluster complexes

Dylan Thurston, Michael Shapiro, Sergey Fomin

arxiv:math/0608367 v3 · 2006-08-15 · math.RA · math.CO · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WLMF5POVZCXU6NVNPWEDZHNO7H}

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.

Cited by

1 paper in Pith

Classical correlation functions at strong coupling from hexagonalization

Receipt and verification

First computed	2026-07-04T17:23:15.486774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2d85ebdd5c8af4f36ad7d883c9daef9fae9fbec4a842f98f2154ea18db390fd

Aliases

arxiv: math/0608367 · arxiv_version: math/0608367v3 · doi: 10.48550/arxiv.math/0608367 · pith_short_12: WLMF5POVZCXU · pith_short_16: WLMF5POVZCXU6NVN · pith_short_8: WLMF5POV

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/WLMF5POVZCXU6NVNPWEDZHNO7H \
  | 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: b2d85ebdd5c8af4f36ad7d883c9daef9fae9fbec4a842f98f2154ea18db390fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39ecfb60cd7480a52c73652acef4eb596e008ddaaed740d88a285a86e59ad0fa",
    "cross_cats_sorted": [
      "math.CO",
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2006-08-15T20:08:19Z",
    "title_canon_sha256": "96109c68bdd5d112f59277621b67aaa5f8cf4b255d99ed50756c8024da4729b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608367",
    "kind": "arxiv",
    "version": 3
  }
}