Pith Number

pith:2D7T7ZZM

pith:2025:2D7T7ZZMGVXHZX6GTIGZKLJIAZ

not attested not anchored not stored refs pending

Apparent bistability from weak long-range interactions

Achilleas Lazarides, Andrea Pizzi

arxiv:2506.10068 v1 · 2025-06-11 · 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{2D7T7ZZMGVXHZX6GTIGZKLJIAZ}

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.

Cited by

1 paper in Pith

Estimate of the exit time for the Long Range Ising model on random regular graphs

Receipt and verification

First computed	2026-07-05T11:20:15.935867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0ff3fe72c356e7cdfc69a0d952d280662cc1d96ac234c55be12196eaffb4c05

Aliases

arxiv: 2506.10068 · arxiv_version: 2506.10068v1 · doi: 10.48550/arxiv.2506.10068 · pith_short_12: 2D7T7ZZMGVXH · pith_short_16: 2D7T7ZZMGVXHZX6G · pith_short_8: 2D7T7ZZM

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/2D7T7ZZMGVXHZX6GTIGZKLJIAZ \
  | 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: d0ff3fe72c356e7cdfc69a0d952d280662cc1d96ac234c55be12196eaffb4c05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1fccde9571705d216587973b6e420bb606a59d052f039c6507539a5377019cd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2025-06-11T18:00:01Z",
    "title_canon_sha256": "768c7cefaebfb8664217f36ccb6675a42314c024b4947f0c0ea8e57ac7f1ffc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.10068",
    "kind": "arxiv",
    "version": 1
  }
}