Pith Number

pith:FTD73I5A

pith:2025:FTD73I5ALRX6W3NI6SKODVBOWL

not attested not anchored not stored refs pending

Ultradense Sphere Packings Derived From Disordered Stealthy Hyperuniform Ground States

Jaeuk Kim, Salvatore Torquato

arxiv:2504.16924 v1 · 2025-04-23 · cond-mat.soft · cond-mat.dis-nn · physics.comp-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{FTD73I5ALRX6W3NI6SKODVBOWL}

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	2026-07-05T10:53:06.529947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cc7fda3a05c6feb6da8f494e1d42eb2fb6ff5f5a0646b381d4a42c682885777

Aliases

arxiv: 2504.16924 · arxiv_version: 2504.16924v1 · doi: 10.48550/arxiv.2504.16924 · pith_short_12: FTD73I5ALRX6 · pith_short_16: FTD73I5ALRX6W3NI · pith_short_8: FTD73I5A

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/FTD73I5ALRX6W3NI6SKODVBOWL \
  | 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: 2cc7fda3a05c6feb6da8f494e1d42eb2fb6ff5f5a0646b381d4a42c682885777

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e18465fa282260dfac3add6b787476b42929c98d1f2969be676bb50f73178bab",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2025-04-23T17:52:54Z",
    "title_canon_sha256": "1d8715173f0e23bab328a8e312fcebf6fcd90ea4d8edfe1f8cd2a0527fe127b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.16924",
    "kind": "arxiv",
    "version": 1
  }
}