Pith Number

pith:ATQALKY3

pith:2011:ATQALKY344KV3HJNBDWMZ2H6DB

not attested not anchored not stored refs pending

Lower Bound for Envy-Free and Truthful Makespan Approximation on Related Machines

Lisa Fleischer, Zhenghui Wang

arxiv:1107.2957 v1 · 2011-07-14 · 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{ATQALKY344KV3HJNBDWMZ2H6DB}

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	2026-05-18T04:18:14.968022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04e005ab1be7155d9d2d08eccce8fe18741d6e81bd7bee512a8a3cac9c4292e5

Aliases

arxiv: 1107.2957 · arxiv_version: 1107.2957v1 · doi: 10.48550/arxiv.1107.2957 · pith_short_12: ATQALKY344KV · pith_short_16: ATQALKY344KV3HJN · pith_short_8: ATQALKY3

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/ATQALKY344KV3HJNBDWMZ2H6DB \
  | 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: 04e005ab1be7155d9d2d08eccce8fe18741d6e81bd7bee512a8a3cac9c4292e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c3d60044b9cdac9873bdf743f534eaee624afd84342e4c031ff1184a4cdd056",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2011-07-14T21:45:00Z",
    "title_canon_sha256": "bcc31d2ec03dc193c13184acf2c35742697d61962aad76539cfab8cfe8a3cca4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2957",
    "kind": "arxiv",
    "version": 1
  }
}