Pith Number

pith:3XXXZ3BX

pith:2016:3XXXZ3BXJY5XLWVYF4HZSCWOFX

not attested not anchored not stored refs pending

The geometry of cluster varieties from surfaces

Dylan G. L. Allegretti

arxiv:1606.07788 v2 · 2016-06-24 · math.AG · math.GT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3XXXZ3BXJY5XLWVYF4HZSCWOFX}

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

2 papers in Pith

Quantized Geodesic Lengths for Teichm\"uller Spaces: Algebraic Aspects

Birational Weyl Group Action on the Symplectic Groupoid and Cluster Algebras

Receipt and verification

First computed	2026-05-17T23:57:33.147237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddef7cec374e3b75dab82f0f990ace2dfd1dfb503ddd120208bdd10c223fb81d

Aliases

arxiv: 1606.07788 · arxiv_version: 1606.07788v2 · doi: 10.48550/arxiv.1606.07788 · pith_short_12: 3XXXZ3BXJY5X · pith_short_16: 3XXXZ3BXJY5XLWVY · pith_short_8: 3XXXZ3BX

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/3XXXZ3BXJY5XLWVYF4HZSCWOFX \
  | 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: ddef7cec374e3b75dab82f0f990ace2dfd1dfb503ddd120208bdd10c223fb81d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "942712f7e2cdb651eedf4058b8b7736d1ea6db9ad9ff5a388521f4638a043570",
    "cross_cats_sorted": [
      "math.GT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-06-24T18:46:12Z",
    "title_canon_sha256": "64f58226a672bf45982896e9c9504252645becbd6c5a5a52fd69e62470894993"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07788",
    "kind": "arxiv",
    "version": 2
  }
}