Pith Number

pith:XY6UTDJF

pith:2015:XY6UTDJFUMD4VBLYAYIR4KR2P7

not attested not anchored not stored refs pending

The lower bound for the number of facets of a k-neighborly d-polytope with d+3 vertices

Aleksandr Maksimenko

arxiv:1509.00362 v5 · 2015-09-01 · 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{XY6UTDJFUMD4VBLYAYIR4KR2P7}

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	2026-05-18T00:07:24.013114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be3d498d25a307ca857806111e2a3a7fdd595846e19453c7428b34ae87d03afd

Aliases

arxiv: 1509.00362 · arxiv_version: 1509.00362v5 · doi: 10.48550/arxiv.1509.00362 · pith_short_12: XY6UTDJFUMD4 · pith_short_16: XY6UTDJFUMD4VBLY · pith_short_8: XY6UTDJF

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/XY6UTDJFUMD4VBLYAYIR4KR2P7 \
  | 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: be3d498d25a307ca857806111e2a3a7fdd595846e19453c7428b34ae87d03afd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "644c709a543918932610e0358e5401a52f4fbc875a532604c643f53c75a27458",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-01T15:47:26Z",
    "title_canon_sha256": "a8f19768dc492099f7b3bc80b69803543e9808a3ed75ad8437373883cf8c4d44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00362",
    "kind": "arxiv",
    "version": 5
  }
}