Pith Number

pith:DNZ2FFH3

pith:2015:DNZ2FFH3Z3PE64WEOUUCECDFPY

not attested not anchored not stored refs pending

Pinning and disorder relevance for the lattice Gaussian free field

Giambattista Giacomin, Hubert Lacoin

arxiv:1501.07909 v3 · 2015-01-30 · 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{DNZ2FFH3Z3PE64WEOUUCECDFPY}

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	2026-05-18T01:36:31.188004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b73a294fbcede4f72c475282208657e335672c7c2b2e8feccc6bdbe765c7833

Aliases

arxiv: 1501.07909 · arxiv_version: 1501.07909v3 · doi: 10.48550/arxiv.1501.07909 · pith_short_12: DNZ2FFH3Z3PE · pith_short_16: DNZ2FFH3Z3PE64WE · pith_short_8: DNZ2FFH3

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/DNZ2FFH3Z3PE64WEOUUCECDFPY \
  | 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: 1b73a294fbcede4f72c475282208657e335672c7c2b2e8feccc6bdbe765c7833

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e22affec4ed53a32f237172b01ee50d677244001d8afc54e602f06d3e592f4d5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-01-30T20:57:14Z",
    "title_canon_sha256": "9c8e9e7067c83ebb48c85741a5e9a668c7b50bd1b14671d3d20d09f5d8c7b6ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.07909",
    "kind": "arxiv",
    "version": 3
  }
}