Pith Number

pith:S4KQJXWK

pith:2016:S4KQJXWKFVPPZJNGOQNRNM2PUN

not attested not anchored not stored refs pending

Hole probability for nodal sets of the cut-off Gaussian Free Field

Alejandro Rivera (IF)

arxiv:1602.08324 v2 · 2016-02-26 · math.PR · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S4KQJXWKFVPPZJNGOQNRNM2PUN}

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	2026-05-18T01:06:24.407184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

971504deca2d5efca5a6741b16b34fa35d696f7674d138c2e4a0275702faba01

Aliases

arxiv: 1602.08324 · arxiv_version: 1602.08324v2 · doi: 10.48550/arxiv.1602.08324 · pith_short_12: S4KQJXWKFVPP · pith_short_16: S4KQJXWKFVPPZJNG · pith_short_8: S4KQJXWK

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/S4KQJXWKFVPPZJNGOQNRNM2PUN \
  | 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: 971504deca2d5efca5a6741b16b34fa35d696f7674d138c2e4a0275702faba01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a7075a366bbc9a0d76f6ab4f4cd1dcb39e3bcef8a25e931b6bf68fab038eb14",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-02-26T13:56:20Z",
    "title_canon_sha256": "fa005a02a0f9eee26ddc4c592cf71040d9d3c438edb131ac2dec42bf443229a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08324",
    "kind": "arxiv",
    "version": 2
  }
}