Pith Number

pith:KWGFMZZ5

pith:2025:KWGFMZZ5XOCQUYSO6CT3P2SYXG

not attested not anchored not stored refs pending

On Hierarchies of Fairness Notions in Cake Cutting: From Proportionality to Super Envy-Freeness

Alexandros Psomas, Arnav Mehra

arxiv:2506.12950 v1 · 2025-06-15 · 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{KWGFMZZ5XOCQUYSO6CT3P2SYXG}

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	2026-07-05T11:22:02.817767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

558c56673dbb850a624ef0a7b7ea58b9b3aafeea3d76632e64d06ff5f52ea89c

Aliases

arxiv: 2506.12950 · arxiv_version: 2506.12950v1 · doi: 10.48550/arxiv.2506.12950 · pith_short_12: KWGFMZZ5XOCQ · pith_short_16: KWGFMZZ5XOCQUYSO · pith_short_8: KWGFMZZ5

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/KWGFMZZ5XOCQUYSO6CT3P2SYXG \
  | 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: 558c56673dbb850a624ef0a7b7ea58b9b3aafeea3d76632e64d06ff5f52ea89c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1bf230921841a160ff005b2fe6ee7c927834c8e106b437c5a937a74216228b7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2025-06-15T19:32:38Z",
    "title_canon_sha256": "7d76500b6b068d1009ba29dadc0f8ef05fc576c7ca755330d1f6659ac30f53d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.12950",
    "kind": "arxiv",
    "version": 1
  }
}