Pith Number

pith:3ASPC7UT

pith:2025:3ASPC7UTJHLB6KOTNTTKEFFQNC

not attested not anchored not stored refs pending

Random punctured hyperbolic surfaces & the Brownian sphere

Nicolas Curien, Timothy Budd

arxiv:2508.18792 v1 · 2025-08-26 · math.PR · math-ph · math.GT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ASPC7UTJHLB6KOTNTTKEFFQNC}

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

Bass notes of random hyperbolic surfaces of large genus

Quasisymmetric rigidity of the Brownian sphere

Receipt and verification

First computed	2026-07-05T11:59:31.109674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d824f17e9349d61f29d36ce6a214b068bfd11bc59b4a124ff813e1d86f8ad69c

Aliases

arxiv: 2508.18792 · arxiv_version: 2508.18792v1 · doi: 10.48550/arxiv.2508.18792 · pith_short_12: 3ASPC7UTJHLB · pith_short_16: 3ASPC7UTJHLB6KOT · pith_short_8: 3ASPC7UT

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/3ASPC7UTJHLB6KOTNTTKEFFQNC \
  | 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: d824f17e9349d61f29d36ce6a214b068bfd11bc59b4a124ff813e1d86f8ad69c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55074b56f2aa212b23b88271ebfb8e1c9f7ca15900b187ec9dc9216ee81bcda1",
    "cross_cats_sorted": [
      "math-ph",
      "math.GT",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-08-26T08:18:15Z",
    "title_canon_sha256": "799166d1c0831b63c6c36dd1086c6199d05b5195ed95d74f4e3c5c1d3781b98c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.18792",
    "kind": "arxiv",
    "version": 1
  }
}