Pith Number

pith:V4IKEEQX

pith:2024:V4IKEEQX6DD2MXIDSL72PIO3HF

not attested not anchored not stored refs pending

Ensemble inequivalence and phase transitions in unlabeled networks

Dmitri Krioukov, Oleg Evnin

arxiv:2411.02739 v2 · 2024-11-05 · cond-mat.stat-mech · cond-mat.dis-nn · math-ph · math.CO · math.MP · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V4IKEEQX6DD2MXIDSL72PIO3HF}

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

Negative heat capacities in spherically symmetric sectors of $d$-matrix quantum mechanics

Receipt and verification

First computed	2026-07-05T11:05:36.094343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af10a21217f0c7a65d0392ffa7a1db3963aeb4bcfb0bdab158014327837bdb23

Aliases

arxiv: 2411.02739 · arxiv_version: 2411.02739v2 · doi: 10.48550/arxiv.2411.02739 · pith_short_12: V4IKEEQX6DD2 · pith_short_16: V4IKEEQX6DD2MXID · pith_short_8: V4IKEEQX

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/V4IKEEQX6DD2MXIDSL72PIO3HF \
  | 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: af10a21217f0c7a65d0392ffa7a1db3963aeb4bcfb0bdab158014327837bdb23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd02472e74d146b7e03a38e61d1b21a8698ccf5421aef47c4cdb0ed09dabbc93",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math-ph",
      "math.CO",
      "math.MP",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2024-11-05T02:12:52Z",
    "title_canon_sha256": "4d78ccc6240def18dd651f44abc212f797e185a1854be18a03e3826898ed8adc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.02739",
    "kind": "arxiv",
    "version": 2
  }
}