Pith Number

pith:UMOTYCK7

pith:2024:UMOTYCK7M63RQMWZNB3D73OE4G

not attested not anchored not stored refs pending

A martingale-type characterisation of the Gaussian free field and fractional Gaussian free fields

Guillaume Woessner, Juhan Aru

arxiv:2407.16261 v3 · 2024-07-23 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UMOTYCK7M63RQMWZNB3D73OE4G}

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	2026-06-02T01:03:29.079099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a31d3c095f67b71832d968763fedc4e18098fa2780adf0b52c837e30d47c4aa0

Aliases

arxiv: 2407.16261 · arxiv_version: 2407.16261v3 · doi: 10.48550/arxiv.2407.16261 · pith_short_12: UMOTYCK7M63R · pith_short_16: UMOTYCK7M63RQMWZ · pith_short_8: UMOTYCK7

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/UMOTYCK7M63RQMWZNB3D73OE4G \
  | 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: a31d3c095f67b71832d968763fedc4e18098fa2780adf0b52c837e30d47c4aa0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6daac804ff6ab936556d4dcaeabeb68fc6e400b23f8d69d00747c40461284f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-07-23T08:03:14Z",
    "title_canon_sha256": "8ddb48fe09b50d9717d07fa59528ebbfc49ab0228fc732201a222feff3b6722f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.16261",
    "kind": "arxiv",
    "version": 3
  }
}