Pith Number

pith:VPDKQI3A

pith:2009:VPDKQI3AF4MBDHDQYFLFMXRQGP

not attested not anchored not stored refs pending

A theory of amorphous packings of binary mixtures of hard spheres

Francesco Caltagirone, Francesco Zamponi, Giorgio Parisi, Indaco Biazzo

arxiv:0903.5099 v1 · 2009-03-29 · cond-mat.dis-nn · 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{VPDKQI3AF4MBDHDQYFLFMXRQGP}

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	2026-05-18T02:14:18.691670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abc6a823602f18119c70c156565e3033dc65728f03e9d50be4b90f243c1be0f4

Aliases

arxiv: 0903.5099 · arxiv_version: 0903.5099v1 · doi: 10.48550/arxiv.0903.5099 · pith_short_12: VPDKQI3AF4MB · pith_short_16: VPDKQI3AF4MBDHDQ · pith_short_8: VPDKQI3A

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/VPDKQI3AF4MBDHDQYFLFMXRQGP \
  | 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: abc6a823602f18119c70c156565e3033dc65728f03e9d50be4b90f243c1be0f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca794a253fe29010477d37c5316a9d383f35069e878e4cdced365502211673e9",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2009-03-29T22:57:32Z",
    "title_canon_sha256": "769ee028df34472c187ac67149fd6412be5b7c7a6bf4f98f09f1de3aa2ef1100"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.5099",
    "kind": "arxiv",
    "version": 1
  }
}