Pith Number

pith:5W5KXM67

pith:2022:5W5KXM67SPIAKDISCP7YLFGABN

not attested not anchored not stored refs pending

Higher-order rich-club phenomenon in collaborative research grants

Kazuki Nakajima, Kazuyuki Shudo, Naoki Masuda

arxiv:2206.11470 v2 · 2022-06-23 · physics.soc-ph · cs.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5W5KXM67SPIAKDISCP7YLFGABN}

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	2026-07-05T06:11:56.020522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edbaabb3df93d0050d1213ff8594c00b42d8d227aaae602caf7958bbf866a2e2

Aliases

arxiv: 2206.11470 · arxiv_version: 2206.11470v2 · doi: 10.48550/arxiv.2206.11470 · pith_short_12: 5W5KXM67SPIA · pith_short_16: 5W5KXM67SPIAKDIS · pith_short_8: 5W5KXM67

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/5W5KXM67SPIAKDISCP7YLFGABN \
  | 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: edbaabb3df93d0050d1213ff8594c00b42d8d227aaae602caf7958bbf866a2e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b7bb1a4e802b657947d194d1164ee9684372c077a41bbeeb7883d028b55d542",
    "cross_cats_sorted": [
      "cs.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2022-06-23T03:37:51Z",
    "title_canon_sha256": "50afde7bc7b67a5cd8e66b5833faa1a42180c7c98b45c7ea971eb7eb6e48e911"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.11470",
    "kind": "arxiv",
    "version": 2
  }
}