Pith Number

pith:3G4745TM

pith:2019:3G4745TMSHTS25ODW3XFLQAC6X

not attested not anchored not stored refs pending

There are at most $2^{d+1}-2$ neighbourly simplices in dimension $d$

Andrzej P. Kisielewicz, Krzysztof Przes{\l}awski

arxiv:1902.05597 v1 · 2019-02-14 · 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{3G4745TMSHTS25ODW3XFLQAC6X}

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	2026-05-17T23:53:56.834374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9b9fe766c91e72d75c3b6ee55c002f5c93626b9d57c0c3be6bb4ff68e230510

Aliases

arxiv: 1902.05597 · arxiv_version: 1902.05597v1 · doi: 10.48550/arxiv.1902.05597 · pith_short_12: 3G4745TMSHTS · pith_short_16: 3G4745TMSHTS25OD · pith_short_8: 3G4745TM

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/3G4745TMSHTS25ODW3XFLQAC6X \
  | 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: d9b9fe766c91e72d75c3b6ee55c002f5c93626b9d57c0c3be6bb4ff68e230510

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4df32fafd4ca96335316ab588d61b917c27624984df83fb8495169aa3f6540d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-02-14T20:31:05Z",
    "title_canon_sha256": "7d627877d98b67ff44b35a5b3fd58711672ff54bf2d9c9601cade8f6efcba196"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.05597",
    "kind": "arxiv",
    "version": 1
  }
}