Pith Number

pith:VMLTA55F

pith:2007:VMLTA55FXD2LAAYYE4DAFPJ325

not attested not anchored not stored refs pending

Scaling limit for a class of gradient fields with nonconvex potentials

Herbert Spohn, Marek Biskup

arxiv:0704.3086 v3 · 2007-04-23 · 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{VMLTA55FXD2LAAYYE4DAFPJ325}

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	2026-05-18T04:34:00.886358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab173077a5b8f4b00318270602bd3bd76ffa882307b98683f4436b88368075b1

Aliases

arxiv: 0704.3086 · arxiv_version: 0704.3086v3 · doi: 10.48550/arxiv.0704.3086 · pith_short_12: VMLTA55FXD2L · pith_short_16: VMLTA55FXD2LAAYY · pith_short_8: VMLTA55F

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/VMLTA55FXD2LAAYYE4DAFPJ325 \
  | 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: ab173077a5b8f4b00318270602bd3bd76ffa882307b98683f4436b88368075b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8d53a122cb42fd7c4fc0c5f85bbe34b480c04baf7651dfce5105014272c4b5b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2007-04-23T20:45:20Z",
    "title_canon_sha256": "b9e331b80404636c0a31138cda75bf80bf0634f836b25078537f51b7f77b12dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.3086",
    "kind": "arxiv",
    "version": 3
  }
}