Pith Number

pith:VTGFS3UV

pith:2012:VTGFS3UVGDNCEUGLAM3XDNJT2C

not attested not anchored not stored refs pending

The Gaussian free field and Hadamard's variational formula

Haakan Hedenmalm, Pekka J. Nieminen

arxiv:1201.0377 v2 · 2012-01-01 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VTGFS3UVGDNCEUGLAM3XDNJT2C}

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	2026-05-18T02:23:59.066897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

accc596e9530da2250cb033771b533d0a895f3bf5d1b497a02ae9c18f4a9cf3b

Aliases

arxiv: 1201.0377 · arxiv_version: 1201.0377v2 · doi: 10.48550/arxiv.1201.0377 · pith_short_12: VTGFS3UVGDNC · pith_short_16: VTGFS3UVGDNCEUGL · pith_short_8: VTGFS3UV

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/VTGFS3UVGDNCEUGLAM3XDNJT2C \
  | 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: accc596e9530da2250cb033771b533d0a895f3bf5d1b497a02ae9c18f4a9cf3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cb065c9e0ec133d3ba560e1d339f452543c4a939610a7aa337d32988adc2de6",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-01-01T19:26:27Z",
    "title_canon_sha256": "6e21584b97defc72a39cb331ad9c092fa2389721b43afb85f44fc94f6ff38f16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0377",
    "kind": "arxiv",
    "version": 2
  }
}