Pith Number

pith:72SZYPYD

pith:2012:72SZYPYDYFOVSMSJATPLALOX5F

not attested not anchored not stored refs pending

Cluster algebras and triangulated surfaces. Part II: Lambda lengths

Dylan Thurston, Sergey Fomin

arxiv:1210.5569 v2 · 2012-10-20 · math.GT · math.CO · math.MG · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{72SZYPYDYFOVSMSJATPLALOX5F}

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

Collapsing in polygonal dynamics

Receipt and verification

First computed	2026-05-18T00:06:44.345330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fea59c3f03c15d59324904deb02dd7e944e326beb9312e77c6fd4c9c4cb724b9

Aliases

arxiv: 1210.5569 · arxiv_version: 1210.5569v2 · doi: 10.48550/arxiv.1210.5569 · pith_short_12: 72SZYPYDYFOV · pith_short_16: 72SZYPYDYFOVSMSJ · pith_short_8: 72SZYPYD

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/72SZYPYDYFOVSMSJATPLALOX5F \
  | 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: fea59c3f03c15d59324904deb02dd7e944e326beb9312e77c6fd4c9c4cb724b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3dab5249ec4fac26a0dbdabf482359cdb2c3718952ffc7ed406f06e076291de",
    "cross_cats_sorted": [
      "math.CO",
      "math.MG",
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-10-20T01:31:46Z",
    "title_canon_sha256": "89ea9ae92838b5e79a3da38423f7df7ac8a8d8a7cfac8f97664db6971df0c40d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5569",
    "kind": "arxiv",
    "version": 2
  }
}