Pith Number

pith:GVHFE3TN

pith:1999:GVHFE3TNPX3GXRF3Z5IGSLA5UM

not attested not anchored not stored refs pending

A Note on Wetting Transition for Gradient Fields

Pietro Caputo, Yvan Velenik

arxiv:math/9909057 v1 · 1999-09-10 · math.PR · cond-mat.stat-mech · 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{GVHFE3TNPX3GXRF3Z5IGSLA5UM}

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	2026-05-18T04:14:46.387031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

354e526e6d7df66bc4bbcf50692c1da31a10ce73316c28e8ea9ef148375ce673

Aliases

arxiv: math/9909057 · arxiv_version: math/9909057v1 · doi: 10.48550/arxiv.math/9909057 · pith_short_12: GVHFE3TNPX3G · pith_short_16: GVHFE3TNPX3GXRF3 · pith_short_8: GVHFE3TN

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/GVHFE3TNPX3GXRF3Z5IGSLA5UM \
  | 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: 354e526e6d7df66bc4bbcf50692c1da31a10ce73316c28e8ea9ef148375ce673

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48e9a1411966595d7cf5e59a584e777529f01f9a5a3e8c392d3229501dbebe8b",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "1999-09-10T10:41:25Z",
    "title_canon_sha256": "ddf7b1baf8ed0623080e3c2192d5e06d46765ed71f745a59981f228c864c2b03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9909057",
    "kind": "arxiv",
    "version": 1
  }
}