Pith Number

pith:PXKHB6WG

pith:2015:PXKHB6WG3ZSULSRMKBSHGI3H7R

not attested not anchored not stored refs pending

Griffiths phases and localization in hierarchical modular networks

Gergely \'Odor, G\'eza \'Odor, Ronald Dickman

arxiv:1503.06307 v2 · 2015-03-21 · cond-mat.dis-nn · cond-mat.stat-mech · physics.bio-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{PXKHB6WG3ZSULSRMKBSHGI3H7R}

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	2026-05-18T01:32:10.453709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dd470fac6de6545ca2c5064732367fc6637ccf1ad8d5bc9ca8ee3fd057af230

Aliases

arxiv: 1503.06307 · arxiv_version: 1503.06307v2 · doi: 10.48550/arxiv.1503.06307 · pith_short_12: PXKHB6WG3ZSU · pith_short_16: PXKHB6WG3ZSULSRM · pith_short_8: PXKHB6WG

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/PXKHB6WG3ZSULSRMKBSHGI3H7R \
  | 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: 7dd470fac6de6545ca2c5064732367fc6637ccf1ad8d5bc9ca8ee3fd057af230

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30ace5dd10323376d5ab61d619662b33e06254d9807b7df5fd44b5c545792b52",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "physics.bio-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2015-03-21T14:58:23Z",
    "title_canon_sha256": "3bfcd12d39055d2a584ef787557924d1703b58aa8fdc042a37d0b76a60d7052a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06307",
    "kind": "arxiv",
    "version": 2
  }
}