Pith Number

pith:SJAH2HYM

pith:2025:SJAH2HYMECOUQ62HSM7FAML7BS

not attested not anchored not stored refs pending

Probing EFX via PMMS: (Non-)Existence Results in Discrete Fair Division

Franciszek Malinka, Jaros{\l}aw Byrka, Tomasz Ponitka

arxiv:2507.14957 v2 · 2025-07-20 · cs.GT · cs.AI · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SJAH2HYMECOUQ62HSM7FAML7BS}

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	2026-07-05T11:45:37.671979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92407d1f0c209d487b47933e50317f0cb570e9f723e7ee4dda834bf0409e5336

Aliases

arxiv: 2507.14957 · arxiv_version: 2507.14957v2 · doi: 10.48550/arxiv.2507.14957 · pith_short_12: SJAH2HYMECOU · pith_short_16: SJAH2HYMECOUQ62H · pith_short_8: SJAH2HYM

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/SJAH2HYMECOUQ62HSM7FAML7BS \
  | 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: 92407d1f0c209d487b47933e50317f0cb570e9f723e7ee4dda834bf0409e5336

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c15f600d53be736361ea88d424d064d9f10ffe77a31286af0fb44e9e40b8a9d",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2025-07-20T13:32:12Z",
    "title_canon_sha256": "58e12aed4cd4f51d73e82dca417dc777c60d34c77cf8d93cf61bab9ec0250d95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.14957",
    "kind": "arxiv",
    "version": 2
  }
}