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Pith Number

pith:P3CKXFYZ

pith:2018:P3CKXFYZCRZC3JQ77GHCOYGAAM
not attested not anchored not stored refs pending

Comparing Approximate Relaxations of Envy-Freeness

Evangelos Markakis, Georgios Amanatidis, Georgios Birmpas

arxiv:1806.03114 v1 · 2018-06-08 · cs.GT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{P3CKXFYZCRZC3JQ77GHCOYGAAM}

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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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-05-18T00:13:49.603514Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7ec4ab971914722da61ff98e2760c0033108b3f81d06639e0a0b202727b946f3

Aliases

arxiv: 1806.03114 · arxiv_version: 1806.03114v1 · doi: 10.48550/arxiv.1806.03114 · pith_short_12: P3CKXFYZCRZC · pith_short_16: P3CKXFYZCRZC3JQ7 · pith_short_8: P3CKXFYZ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/P3CKXFYZCRZC3JQ77GHCOYGAAM \
  | 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: 7ec4ab971914722da61ff98e2760c0033108b3f81d06639e0a0b202727b946f3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d055174ef234da7987f3d55782cf85367bc880819dc4dc0bcc9bd202b959ccc4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2018-06-08T12:25:37Z",
    "title_canon_sha256": "c8b732b40352d49d53493df4077e7892673a146b5a4abe3ae179816c2f014240"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.03114",
    "kind": "arxiv",
    "version": 1
  }
}