Pith Number

pith:THUJX4MI

pith:2016:THUJX4MI65JJX6YVE3W2TNBJG6

not attested not anchored not stored refs pending

Fair Representation and a Linear Shapley Rule

Nicola Maaser, Sascha Kurz, Stefan Napel

arxiv:1610.05436 v1 · 2016-10-18 · 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{THUJX4MI65JJX6YVE3W2TNBJG6}

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	2026-05-18T00:32:59.992230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99e89bf188f7529bfb1526eda9b42937a6e357ec041109ba21de696a6275662f

Aliases

arxiv: 1610.05436 · arxiv_version: 1610.05436v1 · doi: 10.48550/arxiv.1610.05436 · pith_short_12: THUJX4MI65JJ · pith_short_16: THUJX4MI65JJX6YV · pith_short_8: THUJX4MI

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/THUJX4MI65JJX6YVE3W2TNBJG6 \
  | 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: 99e89bf188f7529bfb1526eda9b42937a6e357ec041109ba21de696a6275662f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "989ed0b222f198f3651ba274598177811c65a99c7d7852ffdce91017f7f5b72b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2016-10-18T05:10:44Z",
    "title_canon_sha256": "ecd89dbe9fd78265e3731837849ee905cdaa77cf33bac465f7258e3b63497d2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05436",
    "kind": "arxiv",
    "version": 1
  }
}