Pith Number

pith:E2HKJVHR

pith:2018:E2HKJVHRRB75RF64SVK3NWSFHC

not attested not anchored not stored refs pending

Dense Packings with Nonparallel Cylinders

Dan Ismailescu, Piotr Laskawiec

arxiv:1809.10721 v1 · 2018-09-27 · 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{E2HKJVHRRB75RF64SVK3NWSFHC}

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	2026-05-18T00:04:35.218615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

268ea4d4f1887fd897dc9555b6da45389896e53bda5affa0d38157e572443585

Aliases

arxiv: 1809.10721 · arxiv_version: 1809.10721v1 · doi: 10.48550/arxiv.1809.10721 · pith_short_12: E2HKJVHRRB75 · pith_short_16: E2HKJVHRRB75RF64 · pith_short_8: E2HKJVHR

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/E2HKJVHRRB75RF64SVK3NWSFHC \
  | 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: 268ea4d4f1887fd897dc9555b6da45389896e53bda5affa0d38157e572443585

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "725fa5c84a8673c90e383941cce1065460dffab4f09371c5d62e148f5ee44464",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-09-27T18:54:16Z",
    "title_canon_sha256": "4fbced3f1372541f1d36b9efcdcdf8609d74a28f19bfcf43d7475ca956dcfe22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.10721",
    "kind": "arxiv",
    "version": 1
  }
}