Pith Number

pith:PEKTBDMC

pith:2017:PEKTBDMCYNXAUX7YJQXGFVK3PV

not attested not anchored not stored refs pending

Liouville measure as a multiplicative cascade via level sets of the Gaussian free field

Avelio Sep\'ulveda, Ellen Powell, Juhan Aru

arxiv:1701.05872 v3 · 2017-01-20 · 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{PEKTBDMCYNXAUX7YJQXGFVK3PV}

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	2026-07-05T01:08:56.742352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7915308d82c36e0a5ff84c2e62d55b7d623c802b34cfa7e8f5badc39835c0677

Aliases

arxiv: 1701.05872 · arxiv_version: 1701.05872v3 · doi: 10.48550/arxiv.1701.05872 · pith_short_12: PEKTBDMCYNXA · pith_short_16: PEKTBDMCYNXAUX7Y · pith_short_8: PEKTBDMC

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/PEKTBDMCYNXAUX7YJQXGFVK3PV \
  | 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: 7915308d82c36e0a5ff84c2e62d55b7d623c802b34cfa7e8f5badc39835c0677

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b77d516bf07c307620349011f6ce1ac382970baf7d5fc354f2c8fb24c5858a82",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-01-20T17:59:34Z",
    "title_canon_sha256": "e9d0d9cd8e4a151bf5ad96de9c843d6bbd41f7f35bd2a44e8f7a4ceda5d7e0d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.05872",
    "kind": "arxiv",
    "version": 3
  }
}