Pith Number

pith:ZMULXMMJ

pith:2016:ZMULXMMJ7IRZ4TZ4ZIYFOAMWHF

not attested not anchored not stored refs pending

Ensemble inequivalence and absence of quasi-stationary states in long-range random networks

Levon Chakhmakhchyan, Stefano Ruffo, Tarcisio N. Teles

arxiv:1609.02054 v4 · 2016-09-07 · 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{ZMULXMMJ7IRZ4TZ4ZIYFOAMWHF}

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	2026-05-18T00:42:44.200829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb28bbb189fa239e4f3cca305701963941833e8dc851262ee51f1627116371b6

Aliases

arxiv: 1609.02054 · arxiv_version: 1609.02054v4 · doi: 10.48550/arxiv.1609.02054 · pith_short_12: ZMULXMMJ7IRZ · pith_short_16: ZMULXMMJ7IRZ4TZ4 · pith_short_8: ZMULXMMJ

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/ZMULXMMJ7IRZ4TZ4ZIYFOAMWHF \
  | 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: cb28bbb189fa239e4f3cca305701963941833e8dc851262ee51f1627116371b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c9fbc0a2886859ad9614504dbcd898bd2a156c5bbd089b7095f95f6feda1ceb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-09-07T16:32:47Z",
    "title_canon_sha256": "50a05b67b4f46184bb158d6123b9b1276cf620338d080862cd3cbf45b99d42db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02054",
    "kind": "arxiv",
    "version": 4
  }
}