Pith Number

pith:6HYTKE3H

pith:2026:6HYTKE3HAAJ5F62DFQ5UG2XGL3

not attested not anchored not stored refs pending

$q$-Exponential Random Graphs: higher-order networks from simple constraints

David Dob\'a\v{s}, Diego Garlaschelli, Petr Jizba

arxiv:2605.31209 v1 · 2026-05-29 · physics.soc-ph · 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{6HYTKE3HAAJ5F62DFQ5UG2XGL3}

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	2026-06-01T01:04:03.887820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1f13513670013d2fb432c3b436ae65eede1c60a3dcbe1e2d72f0676777a7119

Aliases

arxiv: 2605.31209 · arxiv_version: 2605.31209v1 · doi: 10.48550/arxiv.2605.31209 · pith_short_12: 6HYTKE3HAAJ5 · pith_short_16: 6HYTKE3HAAJ5F62D · pith_short_8: 6HYTKE3H

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/6HYTKE3HAAJ5F62DFQ5UG2XGL3 \
  | 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: f1f13513670013d2fb432c3b436ae65eede1c60a3dcbe1e2d72f0676777a7119

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb5042f0d0463e8a84a958f59f0a22c117ed5295bf08e00322fc142f0f383520",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2026-05-29T12:14:57Z",
    "title_canon_sha256": "1865bb05c7586d757c45d6611d262f44b015dd5b0c07143abffca7986f93268f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.31209",
    "kind": "arxiv",
    "version": 1
  }
}