Pith Number

pith:CSHFJNG6

pith:2003:CSHFJNG6W4WDXPD3GM75PA7QZQ

not attested not anchored not stored refs pending

Regular three-dimensional bubble clusters: shape, packing and growth-rate

Francois Graner, Simon Cox

arxiv:cond-mat/0309107 v4 · 2003-09-04 · 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{CSHFJNG6W4WDXPD3GM75PA7QZQ}

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	2026-05-18T01:06:56.896448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

148e54b4deb72c3bbc7b333fd783f0cc19e016bca39e810cef0fd0624b68b329

Aliases

arxiv: cond-mat/0309107 · arxiv_version: cond-mat/0309107v4 · doi: 10.48550/arxiv.cond-mat/0309107 · pith_short_12: CSHFJNG6W4WD · pith_short_16: CSHFJNG6W4WDXPD3 · pith_short_8: CSHFJNG6

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/CSHFJNG6W4WDXPD3GM75PA7QZQ \
  | 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: 148e54b4deb72c3bbc7b333fd783f0cc19e016bca39e810cef0fd0624b68b329

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a0874f1a4bdf25c67e03cd689c1871040c4341c4ecaaa73c33dac9600bb6d4d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2003-09-04T13:29:34Z",
    "title_canon_sha256": "b3c9789452a9f1f7a92b0eaa42f0bef342b72542d1d1e6901664c75eed83630f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0309107",
    "kind": "arxiv",
    "version": 4
  }
}