Pith Number

pith:IZ6COT4I

pith:2010:IZ6COT4IQUHLZYOEWO5UT5HFQ6

not attested not anchored not stored refs pending

Multilevel compression of random walks on networks reveals hierarchical organization in large integrated systems

C. T. Bergstrom, M. Rosvall

arxiv:1010.0431 v2 · 2010-10-03 · physics.soc-ph · cs.SI · physics.comp-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{IZ6COT4IQUHLZYOEWO5UT5HFQ6}

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	2026-05-18T04:24:43.708619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

467c274f88850ebce1c4b3bb49f4e587976ee028147d29e64ffbdcf2764334ed

Aliases

arxiv: 1010.0431 · arxiv_version: 1010.0431v2 · doi: 10.48550/arxiv.1010.0431 · pith_short_12: IZ6COT4IQUHL · pith_short_16: IZ6COT4IQUHLZYOE · pith_short_8: IZ6COT4I

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/IZ6COT4IQUHLZYOEWO5UT5HFQ6 \
  | 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: 467c274f88850ebce1c4b3bb49f4e587976ee028147d29e64ffbdcf2764334ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d3ddd72065be13e49c4f8541ae86077d1bf3e24a06b049c722f18eb064dec6c",
    "cross_cats_sorted": [
      "cs.SI",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2010-10-03T19:10:16Z",
    "title_canon_sha256": "4dea8bd385bbcc3497ba2152bd28111d62f617cc9a2da8f68576b0740ac08c7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0431",
    "kind": "arxiv",
    "version": 2
  }
}