Pith Number

pith:BZPM6UPJ

pith:2015:BZPM6UPJUS6WD7GX4CQWRHQ7X3

not attested not anchored not stored refs pending

The random packing density of nearly spherical particles

Yoav Kallus

arxiv:1508.05398 v2 · 2015-08-21 · cond-mat.soft · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BZPM6UPJUS6WD7GX4CQWRHQ7X3}

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	2026-05-18T01:15:38.662865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e5ecf51e9a4bd61fcd7e0a1689e1fbee0b0dd065aa48b52c13608a12a850910

Aliases

arxiv: 1508.05398 · arxiv_version: 1508.05398v2 · doi: 10.48550/arxiv.1508.05398 · pith_short_12: BZPM6UPJUS6W · pith_short_16: BZPM6UPJUS6WD7GX · pith_short_8: BZPM6UPJ

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/BZPM6UPJUS6WD7GX4CQWRHQ7X3 \
  | 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: 0e5ecf51e9a4bd61fcd7e0a1689e1fbee0b0dd065aa48b52c13608a12a850910

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94720f24509d33c84e4b8c98a4db5d7cb944ae8f09c054ea068f0e574a9aaaf1",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2015-08-21T20:13:03Z",
    "title_canon_sha256": "0c6d9e2923fac8fadf6f5b5936c2423b38a94efd20d8a9dfb4de1d726ccb6370"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05398",
    "kind": "arxiv",
    "version": 2
  }
}