Pith Number

pith:6JUSYLH5

pith:2020:6JUSYLH5RQH3DL7PK5Z5JWEE7Q

not attested not anchored not stored refs pending

Planarity and non-separating cycles in uniform high genus quadrangulations

Baptiste Louf

arxiv:2012.06512 v2 · 2020-12-11 · math.PR · 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{6JUSYLH5RQH3DL7PK5Z5JWEE7Q}

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

Random punctured hyperbolic surfaces & the Brownian sphere

Receipt and verification

First computed	2026-07-05T05:03:32.553485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2692c2cfd8c0fb1afef5773d4d884fc379025f1f4108170477d92e0e7b81e89

Aliases

arxiv: 2012.06512 · arxiv_version: 2012.06512v2 · doi: 10.48550/arxiv.2012.06512 · pith_short_12: 6JUSYLH5RQH3 · pith_short_16: 6JUSYLH5RQH3DL7P · pith_short_8: 6JUSYLH5

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/6JUSYLH5RQH3DL7PK5Z5JWEE7Q \
  | 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: f2692c2cfd8c0fb1afef5773d4d884fc379025f1f4108170477d92e0e7b81e89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9363957f6c42cd3304137dcb42d9f6b4ca3eb76ad89c23fc16b8fef3e6d5829a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-12-11T17:33:04Z",
    "title_canon_sha256": "2bec9b8dde737868566a59c099920db8e4fab6c452356419a739e0834494c8fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.06512",
    "kind": "arxiv",
    "version": 2
  }
}