Pith Number

pith:PQJ2QW62

pith:2014:PQJ2QW627DYNQXIB7I4PFADQ47

not attested not anchored not stored refs pending

The geometry of flip graphs and mapping class groups

Hugo Parlier, Valentina Disarlo

arxiv:1411.4285 v1 · 2014-11-16 · math.GT · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PQJ2QW627DYNQXIB7I4PFADQ47}

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	2026-05-18T02:35:46.037121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c13a85bdaf8f0d85d01fa38f28070e7ea64c07eb4e04b469f3f1ffb1e5d743b

Aliases

arxiv: 1411.4285 · arxiv_version: 1411.4285v1 · doi: 10.48550/arxiv.1411.4285 · pith_short_12: PQJ2QW627DYN · pith_short_16: PQJ2QW627DYNQXIB · pith_short_8: PQJ2QW62

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/PQJ2QW627DYNQXIB7I4PFADQ47 \
  | 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: 7c13a85bdaf8f0d85d01fa38f28070e7ea64c07eb4e04b469f3f1ffb1e5d743b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "660895c779e2325cb60e573224f85fd4da836a4ac3224fe05b3e01cfe2caf22e",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-11-16T17:45:35Z",
    "title_canon_sha256": "3b3137f7f27e29d80b7d44fa56d93824f7d8dc385c1ff843b0ee4af9eeb50f61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4285",
    "kind": "arxiv",
    "version": 1
  }
}