Pith Number

pith:TJYBP3NI

pith:2007:TJYBP3NIJYTD3CJGATEAWKAPTU

not attested not anchored not stored refs pending

Phase space gaps and ergodicity breaking in systems with long range interactions

David Mukamel (Weizmann Institute, Freddy Bouchet (INLN, Phys-ENS), Stefano Ruffo (Univ. Firenze, Thierry Dauxois (Phys-ENS)

arxiv:0711.0268 v1 · 2007-11-02 · 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{TJYBP3NIJYTD3CJGATEAWKAPTU}

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	2026-05-18T02:19:36.715328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a7017eda84e263d892604c80b280f9d2cd5f54646850f7b4e0374d3b87ba04a

Aliases

arxiv: 0711.0268 · arxiv_version: 0711.0268v1 · doi: 10.48550/arxiv.0711.0268 · pith_short_12: TJYBP3NIJYTD · pith_short_16: TJYBP3NIJYTD3CJG · pith_short_8: TJYBP3NI

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/TJYBP3NIJYTD3CJGATEAWKAPTU \
  | 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: 9a7017eda84e263d892604c80b280f9d2cd5f54646850f7b4e0374d3b87ba04a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf7da3b1d9038d6aa2d62f1fb7e3c59bb36e6dce2f25f05cc98699316cbb7b71",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2007-11-02T09:39:41Z",
    "title_canon_sha256": "778d6a55583d06261b84c8fc8cb366fcae63cfaba40c62d24fd73aef92138ec0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.0268",
    "kind": "arxiv",
    "version": 1
  }
}