Pith Number

pith:67LUDARY

pith:2012:67LUDARYLPXJQVWTNBAUVLTEDJ

not attested not anchored not stored refs pending

Tight Lower Bounds on Envy-Free Makespan Approximation

Amos Fiat, Ariel Levavi

arxiv:1205.1786 v1 · 2012-05-08 · cs.DM · 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{67LUDARYLPXJQVWTNBAUVLTEDJ}

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	2026-05-18T03:56:08.949432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7d74182385bee9856d368414aae641a5c48323d8f911f0556c855858e3da5c1

Aliases

arxiv: 1205.1786 · arxiv_version: 1205.1786v1 · doi: 10.48550/arxiv.1205.1786 · pith_short_12: 67LUDARYLPXJ · pith_short_16: 67LUDARYLPXJQVWT · pith_short_8: 67LUDARY

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/67LUDARYLPXJQVWTNBAUVLTEDJ \
  | 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: f7d74182385bee9856d368414aae641a5c48323d8f911f0556c855858e3da5c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "472140f6cead571e30b8a28fd68a1bdcb75a4588b937c4af76c0c0566f436391",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2012-05-08T19:30:07Z",
    "title_canon_sha256": "015410523e4566e4de744d654cff316498d5117d5dd33c4af023fbb719b2c6b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1786",
    "kind": "arxiv",
    "version": 1
  }
}