Pith Number

pith:5CLGWX7F

pith:2025:5CLGWX7FOKTCQUZTK4Z5PLLQ3M

not attested not anchored not stored refs pending

On Dense Tetrahedra in Binary Sphere Packings

Daria Pchelina, Thomas Fernique

arxiv:2505.14110 v2 · 2025-05-20 · math.MG · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5CLGWX7FOKTCQUZTK4Z5PLLQ3M}

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	2026-06-26T01:15:44.184953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8966b5fe572a62853335733d7ad70db344b1ec267aa6fd13805193ad841b7f9

Aliases

arxiv: 2505.14110 · arxiv_version: 2505.14110v2 · doi: 10.48550/arxiv.2505.14110 · pith_short_12: 5CLGWX7FOKTC · pith_short_16: 5CLGWX7FOKTCQUZT · pith_short_8: 5CLGWX7F

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/5CLGWX7FOKTCQUZTK4Z5PLLQ3M \
  | 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: e8966b5fe572a62853335733d7ad70db344b1ec267aa6fd13805193ad841b7f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a033a0ccb37716c49473d7c21ebd58564b35c52f6038b0be087e574bca272071",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2025-05-20T09:18:09Z",
    "title_canon_sha256": "63cacdecf9a91f020947e708c7132f9173f044a6706e5aa14a64063f449096f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.14110",
    "kind": "arxiv",
    "version": 2
  }
}