Pith Number

pith:W5Q67LG6

pith:2011:W5Q67LG6LEGOS4X7BDYPIIJJTT

not attested not anchored not stored refs pending

Phase transitions in simplified models with long-range interactions

A. Figueiredo, B. A. Mello, M. A. Amato, T. M. Rocha Filho

arxiv:1104.2659 v3 · 2011-04-14 · cond-mat.stat-mech

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W5Q67LG6LEGOS4X7BDYPIIJJTT}

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	2026-05-18T02:02:29.370997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b761efacde590ce972ff08f0f421299ce4eb17278910a7680ef232a4a3f770bb

Aliases

arxiv: 1104.2659 · arxiv_version: 1104.2659v3 · doi: 10.48550/arxiv.1104.2659 · pith_short_12: W5Q67LG6LEGO · pith_short_16: W5Q67LG6LEGOS4X7 · pith_short_8: W5Q67LG6

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/W5Q67LG6LEGOS4X7BDYPIIJJTT \
  | 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: b761efacde590ce972ff08f0f421299ce4eb17278910a7680ef232a4a3f770bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "899e4c778a3059b1072735d3da17af5955247527341e2122eaa466f38365f266",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-04-14T03:50:18Z",
    "title_canon_sha256": "0ddb1c6a0f613061e04dfab199f48bfa41d856425ffca42fc4201f09bd2dc64b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2659",
    "kind": "arxiv",
    "version": 3
  }
}