Pith Number

pith:ZUPHR4G3

pith:2012:ZUPHR4G3RH6BKWRQVA2DYMQJAM

not attested not anchored not stored refs pending

Snake graph calculus and cluster algebras from surfaces

Ilke Canakci, Ralf Schiffler

arxiv:1209.4617 v2 · 2012-09-20 · math.RT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZUPHR4G3RH6BKWRQVA2DYMQJAM}

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	2026-05-18T03:42:45.881939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd1e78f0db89fc155a30a8343c3209032f514c05480be560743a459482f0aac2

Aliases

arxiv: 1209.4617 · arxiv_version: 1209.4617v2 · doi: 10.48550/arxiv.1209.4617 · pith_short_12: ZUPHR4G3RH6B · pith_short_16: ZUPHR4G3RH6BKWRQ · pith_short_8: ZUPHR4G3

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/ZUPHR4G3RH6BKWRQVA2DYMQJAM \
  | 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: cd1e78f0db89fc155a30a8343c3209032f514c05480be560743a459482f0aac2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2697afd0467f477ffc1b9318284519c9fbdef02d365df549cfc3d3cdac0ab4e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-09-20T19:08:05Z",
    "title_canon_sha256": "506aa03401f789fd0386508840dc69da18ba26c583111193e7e6fb9774760966"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4617",
    "kind": "arxiv",
    "version": 2
  }
}