Pith Number

pith:TB5OYHWY

pith:2016:TB5OYHWYC7ST4GD5ZFTHCBFDF5

not attested not anchored not stored refs pending

Least Square Approximations and Linear Values of Cooperative Games

Michel Grabisch, Ulrich Faigle

arxiv:1601.02831 v1 · 2016-01-12 · math.OC · 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{TB5OYHWYC7ST4GD5ZFTHCBFDF5}

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	2026-05-18T01:22:59.505902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

987aec1ed817e53e187dc9667104a32f601145d2fb26b83a9e31158c9b667b0a

Aliases

arxiv: 1601.02831 · arxiv_version: 1601.02831v1 · doi: 10.48550/arxiv.1601.02831 · pith_short_12: TB5OYHWYC7ST · pith_short_16: TB5OYHWYC7ST4GD5 · pith_short_8: TB5OYHWY

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/TB5OYHWYC7ST4GD5ZFTHCBFDF5 \
  | 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: 987aec1ed817e53e187dc9667104a32f601145d2fb26b83a9e31158c9b667b0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c4bbbf8f7544747dccfe71c02d8504349000ecaee6eae6d4926cc4f8d1f226b",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-01-12T12:51:45Z",
    "title_canon_sha256": "c876d467ad447eae36772599977a7086bb05abd83250f3488ae73a64affaa080"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02831",
    "kind": "arxiv",
    "version": 1
  }
}