Pith Number

pith:P4GAQKCS

pith:2016:P4GAQKCSN4JTTTUYPMYU34CIBQ

not attested not anchored not stored refs pending

Provision of Public Goods on Networks: On Existence, Uniqueness, and Centralities

Mingyan Liu, Parinaz Naghizadeh

arxiv:1604.08910 v2 · 2016-04-29 · cs.GT · 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{P4GAQKCSN4JTTTUYPMYU34CIBQ}

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	2026-05-18T01:14:28.644765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f0c0828526f1339ce987b314df0480c038891a32bd39df34c1deeb07000862f

Aliases

arxiv: 1604.08910 · arxiv_version: 1604.08910v2 · doi: 10.48550/arxiv.1604.08910 · pith_short_12: P4GAQKCSN4JT · pith_short_16: P4GAQKCSN4JTTTUY · pith_short_8: P4GAQKCS

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/P4GAQKCSN4JTTTUYPMYU34CIBQ \
  | 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: 7f0c0828526f1339ce987b314df0480c038891a32bd39df34c1deeb07000862f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18cd0201ec5844349c174217c801a1c4544548e898456d3605ee0b5b4332def2",
    "cross_cats_sorted": [
      "cs.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2016-04-29T16:57:32Z",
    "title_canon_sha256": "020a361cb0fea4f540631556e0bcbf6bf590243f176747e0e370ea0adcc88ef4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.08910",
    "kind": "arxiv",
    "version": 2
  }
}