Pith Number

pith:KG26DYAW

pith:2025:KG26DYAWO6ZVWNV7SDADLPNSWV

not attested not anchored not stored refs pending

Kissing polytopes in dimension 3

Antoine Deza, Lionel Pournin, Zhongyuan Liu

arxiv:2502.19554 v1 · 2025-02-26 · math.MG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KG26DYAWO6ZVWNV7SDADLPNSWV}

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	2026-07-05T10:20:48.571636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51b5e1e01677b35b36bf90c035bdb2b55dc30dc7d387328e952a49b75c4549dd

Aliases

arxiv: 2502.19554 · arxiv_version: 2502.19554v1 · doi: 10.48550/arxiv.2502.19554 · pith_short_12: KG26DYAWO6ZV · pith_short_16: KG26DYAWO6ZVWNV7 · pith_short_8: KG26DYAW

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/KG26DYAWO6ZVWNV7SDADLPNSWV \
  | 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: 51b5e1e01677b35b36bf90c035bdb2b55dc30dc7d387328e952a49b75c4549dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3aaa9522d6be409ff2958e4790a9add3f6523aba1533053efce518b90d98d9e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2025-02-26T20:48:57Z",
    "title_canon_sha256": "05374b69f3930764332edc428047c05a5470195f1526f52da9632b8f61a3a9f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.19554",
    "kind": "arxiv",
    "version": 1
  }
}