Pith Number

pith:IR6SSIPR

pith:2025:IR6SSIPRUJI5FJKYWPLMNPG6BQ

not attested not anchored not stored refs pending

Computer-Assisted Proofs for Geometric Optimization: From Crystallization to Carbon Nanotubes

Benedikt Wirth, Miguel Ayala, Rustum Choksi

arxiv:2506.22614 v3 · 2025-06-27 · physics.comp-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IR6SSIPRUJI5FJKYWPLMNPG6BQ}

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	2026-06-09T01:05:07.498426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

447d2921f1a251d2a558b3d6c6bcde0c2bf5b66c05d80201376c20c22d348654

Aliases

arxiv: 2506.22614 · arxiv_version: 2506.22614v3 · doi: 10.48550/arxiv.2506.22614 · pith_short_12: IR6SSIPRUJI5 · pith_short_16: IR6SSIPRUJI5FJKY · pith_short_8: IR6SSIPR

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/IR6SSIPRUJI5FJKYWPLMNPG6BQ \
  | 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: 447d2921f1a251d2a558b3d6c6bcde0c2bf5b66c05d80201376c20c22d348654

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6240cf2067e2b83e23d64e59c7aaafaf0e3c473a5a57fe329669c85ba755fa09",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2025-06-27T20:21:30Z",
    "title_canon_sha256": "d630c99efe96f5ace72d02f6701ed2dedce2181e3a66248f4e4c9836dea665dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.22614",
    "kind": "arxiv",
    "version": 3
  }
}