Pith Number

pith:65DXIIJ5

pith:2023:65DXIIJ56K7GI4GXJY6Y27UWLF

not attested not anchored not stored refs pending

Kissing polytopes

Antoine Deza, Lionel Pournin, Sebastian Pokutta, Shmuel Onn

arxiv:2305.18597 v2 · 2023-05-29 · math.MG · math.CO · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{65DXIIJ56K7GI4GXJY6Y27UWLF}

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	2026-07-05T10:06:01.285599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f74774213df2be6470d74e3d8d7e965946fab550b98f7bfab5a478047a8f1e9a

Aliases

arxiv: 2305.18597 · arxiv_version: 2305.18597v2 · doi: 10.48550/arxiv.2305.18597 · pith_short_12: 65DXIIJ56K7G · pith_short_16: 65DXIIJ56K7GI4GX · pith_short_8: 65DXIIJ5

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/65DXIIJ56K7GI4GXJY6Y27UWLF \
  | 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: f74774213df2be6470d74e3d8d7e965946fab550b98f7bfab5a478047a8f1e9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87d3d9bf366d39e3d20d79dd6e28aa5e353820d0d8db826acd9210cc1a793a5a",
    "cross_cats_sorted": [
      "math.CO",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2023-05-29T20:27:51Z",
    "title_canon_sha256": "1c1d4fa7ac12549d864fb1a21d874377405ac85dd6c2b583eadf100c00a504f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.18597",
    "kind": "arxiv",
    "version": 2
  }
}