Pith Number

pith:AILKBO5V

pith:2013:AILKBO5VW4UDFQHPA6P7JENPIY

not attested not anchored not stored refs pending

Pessimal packing shapes

Yoav Kallus

arxiv:1305.0289 v2 · 2013-05-01 · math.MG · cond-mat.soft

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AILKBO5VW4UDFQHPA6P7JENPIY}

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	2026-05-18T01:22:25.427414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0216a0bbb5b72832c0ef079ff491af461421c33297467db14c770c1cfd3673cc

Aliases

arxiv: 1305.0289 · arxiv_version: 1305.0289v2 · doi: 10.48550/arxiv.1305.0289 · pith_short_12: AILKBO5VW4UD · pith_short_16: AILKBO5VW4UDFQHP · pith_short_8: AILKBO5V

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/AILKBO5VW4UDFQHPA6P7JENPIY \
  | 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: 0216a0bbb5b72832c0ef079ff491af461421c33297467db14c770c1cfd3673cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c85ba3f1da4f80444b250bda3cac2403fb25f7675c80c17540351804ec140925",
    "cross_cats_sorted": [
      "cond-mat.soft"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-05-01T20:51:12Z",
    "title_canon_sha256": "42f09a23410d9f5043f24b1f8f4a9f238b51cb2bfdc3a356a403109bfab1f2d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0289",
    "kind": "arxiv",
    "version": 2
  }
}