Pith Number

pith:MWIRBHVR

pith:2025:MWIRBHVR3H47WKAZE2TOSKWUBI

not attested not anchored not stored refs pending

Universal self-similarity of hierarchical communities formed through a general self-organizing principle

Juergen Kurths, Nidhi Dilip Sonwane (equal), Norbert Marwan, R. I. Sujith, Shruti Tandon, Tobias Braun

arxiv:2507.11159 v1 · 2025-07-15 · physics.soc-ph · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MWIRBHVR3H47WKAZE2TOSKWUBI}

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	2026-07-05T11:37:33.454421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6591109eb1d9f9fb281926a6e92ad40a12998a4a9a960dd6c12b083e41fda994

Aliases

arxiv: 2507.11159 · arxiv_version: 2507.11159v1 · doi: 10.48550/arxiv.2507.11159 · pith_short_12: MWIRBHVR3H47 · pith_short_16: MWIRBHVR3H47WKAZ · pith_short_8: MWIRBHVR

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/MWIRBHVR3H47WKAZE2TOSKWUBI \
  | 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: 6591109eb1d9f9fb281926a6e92ad40a12998a4a9a960dd6c12b083e41fda994

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee0002ea3ce601fffe1fdb29cd54ad83520dd70701f5a36615cd0ec0b6694e81",
    "cross_cats_sorted": [
      "physics.data-an"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2025-07-15T10:09:32Z",
    "title_canon_sha256": "606c5265dc70d930540b18838279e12cdd63006687be2ccac6b6973ddc7a085e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.11159",
    "kind": "arxiv",
    "version": 1
  }
}