Pith Number

pith:4UOTPLDC

pith:2008:4UOTPLDCMIFWBBZ7BXA2MQUXRF

not attested not anchored not stored refs pending

The Fourier spectrum of critical percolation

Christophe Garban, G\'abor Pete, Oded Schramm

arxiv:0803.3750 v4 · 2008-03-26 · math.PR · math-ph · math.CA · 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{4UOTPLDCMIFWBBZ7BXA2MQUXRF}

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	2026-05-18T03:34:23.807891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e51d37ac62620b60873f0dc1a64297896a9127bf9d3efe9566f5e8ac06b94b4c

Aliases

arxiv: 0803.3750 · arxiv_version: 0803.3750v4 · doi: 10.48550/arxiv.0803.3750 · pith_short_12: 4UOTPLDCMIFW · pith_short_16: 4UOTPLDCMIFWBBZ7 · pith_short_8: 4UOTPLDC

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/4UOTPLDCMIFWBBZ7BXA2MQUXRF \
  | 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: e51d37ac62620b60873f0dc1a64297896a9127bf9d3efe9566f5e8ac06b94b4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf084ff547978b3bbbdd5eab98f6bba834a81d7bdb6297228f7c7043def4c45c",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-03-26T16:11:30Z",
    "title_canon_sha256": "e8baeb0cef8cf1a586ae93cd2808814cb9e09a5c864e314d85825aa0a8c6369d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.3750",
    "kind": "arxiv",
    "version": 4
  }
}