Pith Number

pith:W4JXED2Q

pith:2012:W4JXED2QIKB6HI32FXBKWINHSB

not attested not anchored not stored refs pending

Tight Lower Bounds for Unequal Division

Andrew Lohr

arxiv:1206.1553 v1 · 2012-06-07 · 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{W4JXED2QIKB6HI32FXBKWINHSB}

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	2026-05-18T03:54:04.834730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b713720f504283e3a37a2dc2ab21a7904231e5d9b340fb7c54b1329c2f9a3ae6

Aliases

arxiv: 1206.1553 · arxiv_version: 1206.1553v1 · doi: 10.48550/arxiv.1206.1553 · pith_short_12: W4JXED2QIKB6 · pith_short_16: W4JXED2QIKB6HI32 · pith_short_8: W4JXED2Q

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/W4JXED2QIKB6HI32FXBKWINHSB \
  | 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: b713720f504283e3a37a2dc2ab21a7904231e5d9b340fb7c54b1329c2f9a3ae6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b7165cc2e1db34a5422a581cba8580fe859326e27ba8a04b5350599bcf8fa3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2012-06-07T16:54:19Z",
    "title_canon_sha256": "222e12454208bfd6573a7a685e7e52ed1cb359e2df029df852bdbf9236ddec15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1553",
    "kind": "arxiv",
    "version": 1
  }
}