Pith Number

pith:33JHEWCU

pith:2025:33JHEWCUYLWDN24VFEALIODVTE

not attested not anchored not stored refs pending

Broad Spectrum Structure Discovery in Large-Scale Higher-Order Networks

Aaron Schein, Caterina De Bacco, John Hood

arxiv:2505.21748 v1 · 2025-05-27 · cs.SI · stat.CO · stat.ME · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{33JHEWCUYLWDN24VFEALIODVTE}

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	2026-07-05T11:11:02.961025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ded2725854c2ec36eb952900b43875993ec9535c8878a2c083762ff9e5970e70

Aliases

arxiv: 2505.21748 · arxiv_version: 2505.21748v1 · doi: 10.48550/arxiv.2505.21748 · pith_short_12: 33JHEWCUYLWD · pith_short_16: 33JHEWCUYLWDN24V · pith_short_8: 33JHEWCU

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/33JHEWCUYLWDN24VFEALIODVTE \
  | 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: ded2725854c2ec36eb952900b43875993ec9535c8878a2c083762ff9e5970e70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bf855c932adebcfa40a94154c1e50aba0d30452b70ea5fae0bc28b0bb9ee892",
    "cross_cats_sorted": [
      "stat.CO",
      "stat.ME",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2025-05-27T20:34:58Z",
    "title_canon_sha256": "5d3a885e4e0ee5c4ae6bde5db9899df5ed2a3c273d09901f18d3f10bb2b8e5bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.21748",
    "kind": "arxiv",
    "version": 1
  }
}