Pith Number

pith:XPOGFJYH

pith:2009:XPOGFJYHTLQZU735A7RI2GJFXR

not attested not anchored not stored refs pending

Dense Packings of the Platonic and Archimedean Solids

S. Torquato, Y. Jiao

arxiv:0908.4107 v1 · 2009-08-27 · cond-mat.stat-mech · 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{XPOGFJYHTLQZU735A7RI2GJFXR}

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	2026-05-18T02:12:21.826298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbdc62a7079ae19a7f7d07e28d1925bc6639767fa389d1f193b8dc8d1b6ae97b

Aliases

arxiv: 0908.4107 · arxiv_version: 0908.4107v1 · doi: 10.48550/arxiv.0908.4107 · pith_short_12: XPOGFJYHTLQZ · pith_short_16: XPOGFJYHTLQZU735 · pith_short_8: XPOGFJYH

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/XPOGFJYHTLQZU735A7RI2GJFXR \
  | 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: bbdc62a7079ae19a7f7d07e28d1925bc6639767fa389d1f193b8dc8d1b6ae97b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dd64256a402dba61ba7e73cad28488e42add8d51178a798b348be64fdd2265f",
    "cross_cats_sorted": [
      "cond-mat.soft"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2009-08-27T23:05:48Z",
    "title_canon_sha256": "578a00c7504a3bb3b6aaf9d63a7f215bdd5ad141a3fd8e89a590d6d8f4c35193"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.4107",
    "kind": "arxiv",
    "version": 1
  }
}