Pith Number

pith:B4GGJREG

pith:2019:B4GGJREGUO5XNC4SAJX2OKOUEG

not attested not anchored not stored refs pending

Apollonian Packing in Polydisperse Emulsions

Bernard Cabane, Lewis Sharpnack, Robert Botet, Sylvie Kwok

arxiv:1908.07881 v3 · 2019-08-21 · cond-mat.soft · cond-mat.mtrl-sci · physics.chem-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B4GGJREGUO5XNC4SAJX2OKOUEG}

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	2026-07-05T00:47:58.844838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f0c64c486a3bb768b92026fa729d421adcaa08083feda40f578920f4ccbbe11

Aliases

arxiv: 1908.07881 · arxiv_version: 1908.07881v3 · doi: 10.48550/arxiv.1908.07881 · pith_short_12: B4GGJREGUO5X · pith_short_16: B4GGJREGUO5XNC4S · pith_short_8: B4GGJREG

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/B4GGJREGUO5XNC4SAJX2OKOUEG \
  | 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: 0f0c64c486a3bb768b92026fa729d421adcaa08083feda40f578920f4ccbbe11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c701db3be3129202259dd582588808bbd56f8af77f10334678ee1c979daa1cb",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci",
      "physics.chem-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2019-08-21T14:04:39Z",
    "title_canon_sha256": "404250787bc5b177e6f7d4eb2f4cc8fae7c4eecafa8fa96402dc0697fe1ad983"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07881",
    "kind": "arxiv",
    "version": 3
  }
}