Pith Number

pith:WD5R5XBY

pith:2013:WD5R5XBYJTW2US6TCDXLRVV7WU

not attested not anchored not stored refs pending

Shapley Meets Shapley

Bart de Keijzer, Haris Aziz

arxiv:1307.0332 v1 · 2013-07-01 · 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{WD5R5XBYJTW2US6TCDXLRVV7WU}

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	2026-05-18T03:19:33.657574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0fb1edc384cedaa4bd310eeb8d6bfb538b966ca52445d5aa32cfd46d59e3fc9

Aliases

arxiv: 1307.0332 · arxiv_version: 1307.0332v1 · doi: 10.48550/arxiv.1307.0332 · pith_short_12: WD5R5XBYJTW2 · pith_short_16: WD5R5XBYJTW2US6T · pith_short_8: WD5R5XBY

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/WD5R5XBYJTW2US6TCDXLRVV7WU \
  | 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: b0fb1edc384cedaa4bd310eeb8d6bfb538b966ca52445d5aa32cfd46d59e3fc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04a64750cc257e065792449408271f0a756a3c2ef1b81f97b641c672238155e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2013-07-01T11:07:12Z",
    "title_canon_sha256": "b5d3311e0a4f7f21abf605b87e109889f9df6db065c6d76532bace9c6184f4ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0332",
    "kind": "arxiv",
    "version": 1
  }
}