Pith Number

pith:NFVI7VXR

pith:2018:NFVI7VXR5JNDIGF2EWXZHB74NO

not attested not anchored not stored refs pending

Shapley-like values without symmetry

Jacob North Clark, Stephen Montgomery-Smith

arxiv:1809.07747 v2 · 2018-09-20 · econ.TH · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NFVI7VXR5JNDIGF2EWXZHB74NO}

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	2026-05-17T23:46:31.993156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

696a8fd6f1ea5a3418ba25af9387fc6bb5928fb9b27ce0f29c70bb7a7bcbb76e

Aliases

arxiv: 1809.07747 · arxiv_version: 1809.07747v2 · doi: 10.48550/arxiv.1809.07747 · pith_short_12: NFVI7VXR5JND · pith_short_16: NFVI7VXR5JNDIGF2 · pith_short_8: NFVI7VXR

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/NFVI7VXR5JNDIGF2EWXZHB74NO \
  | 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: 696a8fd6f1ea5a3418ba25af9387fc6bb5928fb9b27ce0f29c70bb7a7bcbb76e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "749c8f0f65cfd9d723600dd9c671edcbbd75bed77081c6f4c7a342f0c6253bca",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "econ.TH",
    "submitted_at": "2018-09-20T17:31:52Z",
    "title_canon_sha256": "aa67eb0120a3149e235b66e65c583f6d18eaaec46b75683973e322a741d7872d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.07747",
    "kind": "arxiv",
    "version": 2
  }
}