Pith Number

pith:W2224U5A

pith:2026:W2224U5AQDXTKKZRHGEVDO3EJZ

not attested not anchored not stored refs pending

Simultaneous EF1 and approximate MMS allocations for submodular valuations

Assaf Fine, Uriel Feige

arxiv:2606.06451 v1 · 2026-06-04 · 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{W2224U5AQDXTKKZRHGEVDO3EJZ}

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	2026-06-05T01:15:45.937785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6b5ae53a080ef352b31398951bb644e641bc73ab5c8f55d6d336d6b4aa69e23

Aliases

arxiv: 2606.06451 · arxiv_version: 2606.06451v1 · doi: 10.48550/arxiv.2606.06451 · pith_short_12: W2224U5AQDXT · pith_short_16: W2224U5AQDXTKKZR · pith_short_8: W2224U5A

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/W2224U5AQDXTKKZRHGEVDO3EJZ \
  | 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: b6b5ae53a080ef352b31398951bb644e641bc73ab5c8f55d6d336d6b4aa69e23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7221c1b20628402b90245979ba7a603b867b93f20d6c1d5deb9421a066e322f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-06-04T17:47:59Z",
    "title_canon_sha256": "0bcc1008fd4ec8a74bed04fde1a8592afe713cb0074a5c05f70c167e17f57974"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06451",
    "kind": "arxiv",
    "version": 1
  }
}