Pith Number

pith:UFQWNTP7

pith:2017:UFQWNTP7UQUZ2JYCLRKL6FXGLX

not attested not anchored not stored refs pending

Hodge decomposition and the Shapley value of a cooperative game

Alexander Tettenhorst, Ari Stern

arxiv:1709.08318 v2 · 2017-09-25 · cs.GT · 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{UFQWNTP7UQUZ2JYCLRKL6FXGLX}

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	2026-05-17T23:50:07.512823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a16166cdffa4299d27025c54bf16e65dd796a6bd1edbf68dc6e197d1ad774018

Aliases

arxiv: 1709.08318 · arxiv_version: 1709.08318v2 · doi: 10.48550/arxiv.1709.08318 · pith_short_12: UFQWNTP7UQUZ · pith_short_16: UFQWNTP7UQUZ2JYC · pith_short_8: UFQWNTP7

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/UFQWNTP7UQUZ2JYCLRKL6FXGLX \
  | 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: a16166cdffa4299d27025c54bf16e65dd796a6bd1edbf68dc6e197d1ad774018

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7996c1a49e14d268f5286f1d3292980a7231caf612e2e9fd68973560b9b9ed6",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2017-09-25T04:51:45Z",
    "title_canon_sha256": "b994980b453e8b1a109a5b781d5d0408a8acf1bfc6b4f40d782f260f385d78b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08318",
    "kind": "arxiv",
    "version": 2
  }
}