Pith Number

pith:GYKRWQ2P

pith:2015:GYKRWQ2PE4CMWMYPXQEOKEWWHN

not attested not anchored not stored refs pending

Packing convex bodies by cylinders

Alexander Litvak, Karoly Bezdek

arxiv:1507.05115 v2 · 2015-07-17 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GYKRWQ2PE4CMWMYPXQEOKEWWHN}

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	2026-05-18T01:18:52.579029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36151b434f2704cb330fbc08e512d63b56c78d4791bfa3dd1f836d8ca96a011d

Aliases

arxiv: 1507.05115 · arxiv_version: 1507.05115v2 · doi: 10.48550/arxiv.1507.05115 · pith_short_12: GYKRWQ2PE4CM · pith_short_16: GYKRWQ2PE4CMWMYP · pith_short_8: GYKRWQ2P

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/GYKRWQ2PE4CMWMYPXQEOKEWWHN \
  | 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: 36151b434f2704cb330fbc08e512d63b56c78d4791bfa3dd1f836d8ca96a011d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcddca476bad0921bed7b7d54e864f82cfe4ab9163809ee88fdc7299cb676723",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-07-17T20:52:04Z",
    "title_canon_sha256": "a69d9b2a814201250386f2559bb736b296e2db4f810ada91bd91ca29631e11fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05115",
    "kind": "arxiv",
    "version": 2
  }
}