Pith Number

pith:OKPN7KXX

pith:2026:OKPN7KXXNSVFEA36VARFYGYGXJ

not attested not anchored not stored refs pending

Sphere of Influence Centrality via Shapley Values: Empirical Approximation and Network Coverage Analysis

Brendan Liu, Kevin Limanta, Peter Chin, Sie Hendrata Dharmawan

arxiv:2606.24121 v1 · 2026-06-23 · cs.SI · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OKPN7KXXNSVFEA36VARFYGYGXJ}

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	2026-06-24T01:14:41.638931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

729edfaaf76caa52037ea8225c1b06ba7a8b6d94dd5db255f61dc2beeb18f87c

Aliases

arxiv: 2606.24121 · arxiv_version: 2606.24121v1 · doi: 10.48550/arxiv.2606.24121 · pith_short_12: OKPN7KXXNSVF · pith_short_16: OKPN7KXXNSVFEA36 · pith_short_8: OKPN7KXX

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/OKPN7KXXNSVFEA36VARFYGYGXJ \
  | 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: 729edfaaf76caa52037ea8225c1b06ba7a8b6d94dd5db255f61dc2beeb18f87c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f1d09897fb3e65861952d924f01a950c1d42902a201d2a61cf9868e1f42d623",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2026-06-23T04:12:34Z",
    "title_canon_sha256": "75005b690fb4224e9ac57767d78e8335830865b32dc023378d77347771f00c47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24121",
    "kind": "arxiv",
    "version": 1
  }
}