Pith Number

pith:FPO4DBED

pith:2009:FPO4DBED3RXJGLOHC76NZK7TL4

not attested not anchored not stored refs pending

Thick points of the Gaussian free field

Jason Miller, Xiaoyu Hu, Yuval Peres

arxiv:0902.3842 v3 · 2009-02-23 · math.PR · math-ph · 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{FPO4DBED3RXJGLOHC76NZK7TL4}

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 surfaces and Liouville quantum gravity

Receipt and verification

First computed	2026-05-18T04:39:59.640739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bddc18483dc6e932dc717fcdcabf35f26e0a1ff48b23a627aea941dbaf32ebf

Aliases

arxiv: 0902.3842 · arxiv_version: 0902.3842v3 · doi: 10.48550/arxiv.0902.3842 · pith_short_12: FPO4DBED3RXJ · pith_short_16: FPO4DBED3RXJGLOH · pith_short_8: FPO4DBED

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/FPO4DBED3RXJGLOHC76NZK7TL4 \
  | 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: 2bddc18483dc6e932dc717fcdcabf35f26e0a1ff48b23a627aea941dbaf32ebf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "906143bdc538bef9b3c097e3fe41e29b57e0984136c674cf3d0f863ee97202a0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-02-23T03:34:33Z",
    "title_canon_sha256": "d516c74719e3d8dbc04de791c66f985a2f383f35e203b94e218e9c7fd28a89ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.3842",
    "kind": "arxiv",
    "version": 3
  }
}