Pith Number

pith:SDKFFQ6Q

pith:2023:SDKFFQ6Q2BWWJ3I2PE7SPVN5NM

not attested not anchored not stored refs pending

On the complexity of Pareto-optimal and envy-free lotteries

Ioannis Caragiannis, Kristoffer Arnsfelt Hansen, Nidhi Rathi

arxiv:2307.12605 v1 · 2023-07-24 · cs.GT · cs.CC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SDKFFQ6Q2BWWJ3I2PE7SPVN5NM}

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	2026-07-05T06:33:56.241232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90d452c3d0d06d64ed1a793f27d5bd6b2aed205c519ff267ce2ffffcdc8c2f42

Aliases

arxiv: 2307.12605 · arxiv_version: 2307.12605v1 · doi: 10.48550/arxiv.2307.12605 · pith_short_12: SDKFFQ6Q2BWW · pith_short_16: SDKFFQ6Q2BWWJ3I2 · pith_short_8: SDKFFQ6Q

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/SDKFFQ6Q2BWWJ3I2PE7SPVN5NM \
  | 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: 90d452c3d0d06d64ed1a793f27d5bd6b2aed205c519ff267ce2ffffcdc8c2f42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7bfdd09757ec945087f47b242da5e892e41396a84da4a8374a00e6668d1d596",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2023-07-24T08:26:12Z",
    "title_canon_sha256": "2997bfdd7d26568e38d8ed2898d430e5909476937aaa7b884c8dc8574903dd86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.12605",
    "kind": "arxiv",
    "version": 1
  }
}