Pith Number

pith:HZYEBFI7

pith:2025:HZYEBFI737FLV76OMEWNU25CSX

not attested not anchored not stored refs pending

Pinning models with contact number constraint: the effect of disorder

Giambattista Giacomin, Marco Zamparo

arxiv:2507.10707 v2 · 2025-07-14 · 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{HZYEBFI737FLV76OMEWNU25CSX}

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	2026-07-05T11:38:09.706121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e7040951fdfcabaffce612cda6ba295c6b231f8f24c40564ed5f93a968dc39b

Aliases

arxiv: 2507.10707 · arxiv_version: 2507.10707v2 · doi: 10.48550/arxiv.2507.10707 · pith_short_12: HZYEBFI737FL · pith_short_16: HZYEBFI737FLV76O · pith_short_8: HZYEBFI7

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/HZYEBFI737FLV76OMEWNU25CSX \
  | 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: 3e7040951fdfcabaffce612cda6ba295c6b231f8f24c40564ed5f93a968dc39b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85c931859a6977e86e77a93f0d89033aeec3e1d45347f9032e2ce28908aa7c01",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-07-14T18:20:53Z",
    "title_canon_sha256": "018bb6416adbc610fad3e7dc35553797699733bcf234b286ab9c143a5c60f6a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.10707",
    "kind": "arxiv",
    "version": 2
  }
}