Pith Number

pith:JPLPOMBF

pith:2024:JPLPOMBFIZHMDUW3O3PSCLKSU6

not attested not anchored not stored refs pending

A random walk among random graphs

Nicolas Curien

arxiv:2412.19752 v1 · 2024-12-27 · 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{JPLPOMBFIZHMDUW3O3PSCLKSU6}

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	2026-07-05T09:54:40.562219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bd6f73025464ec1d2db76df212d52a7a59639d1f90d2f5e985781138846ff7a

Aliases

arxiv: 2412.19752 · arxiv_version: 2412.19752v1 · doi: 10.48550/arxiv.2412.19752 · pith_short_12: JPLPOMBFIZHM · pith_short_16: JPLPOMBFIZHMDUW3 · pith_short_8: JPLPOMBF

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/JPLPOMBFIZHMDUW3O3PSCLKSU6 \
  | 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: 4bd6f73025464ec1d2db76df212d52a7a59639d1f90d2f5e985781138846ff7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e46d56f69c180c8db84ab6dd76a6a2a82d46685f515a1664a8700f6fcf0438e3",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-12-27T17:21:41Z",
    "title_canon_sha256": "2b54b1ae098e7c59db6c2e63caaeb0b1b231e9c1b2e4120f2c025f180549990f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.19752",
    "kind": "arxiv",
    "version": 1
  }
}