Pith Number

pith:2WHTKRNB

pith:2019:2WHTKRNB57ULO5F2GJTBKMYGCX

not attested not anchored not stored refs pending

Envy-freeness up to any item with high Nash welfare: The virtue of donating items

Ioannis Caragiannis, Nick Gravin, Xin Huang

arxiv:1902.04319 v1 · 2019-02-12 · 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{2WHTKRNB57ULO5F2GJTBKMYGCX}

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	2026-05-17T23:54:12.576597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d58f3545a1efe8b774ba326615330615c13ba495c3d4acb5b1871e6a2ff192af

Aliases

arxiv: 1902.04319 · arxiv_version: 1902.04319v1 · doi: 10.48550/arxiv.1902.04319 · pith_short_12: 2WHTKRNB57UL · pith_short_16: 2WHTKRNB57ULO5F2 · pith_short_8: 2WHTKRNB

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/2WHTKRNB57ULO5F2GJTBKMYGCX \
  | 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: d58f3545a1efe8b774ba326615330615c13ba495c3d4acb5b1871e6a2ff192af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c43ab4db0117a39c05326a141d0cc24d0ea978e7afa41e9084472f96b2452a7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2019-02-12T10:35:10Z",
    "title_canon_sha256": "d0130dfdd8d7842c341d0ef3f3fbde7676ff5df2f04428a3eb206998fd6b4314"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.04319",
    "kind": "arxiv",
    "version": 1
  }
}