Pith Number

pith:HGRPKEAX

pith:2022:HGRPKEAXQYSMS4LQ4YEWO6PXLH

not attested not anchored not stored refs pending

Convex polytopes in restricted point sets in $\mathbb{R}^d$

Boris Bukh, Zichao Dong

arxiv:2204.02487 v4 · 2022-04-05 · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HGRPKEAXQYSMS4LQ4YEWO6PXLH}

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	2026-06-23T02:13:11.517664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39a2f510178624c97170e6096779f759c1de214f940ca934edfbbc6b6a5807a5

Aliases

arxiv: 2204.02487 · arxiv_version: 2204.02487v4 · doi: 10.48550/arxiv.2204.02487 · pith_short_12: HGRPKEAXQYSM · pith_short_16: HGRPKEAXQYSMS4LQ · pith_short_8: HGRPKEAX

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/HGRPKEAXQYSMS4LQ4YEWO6PXLH \
  | 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: 39a2f510178624c97170e6096779f759c1de214f940ca934edfbbc6b6a5807a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0b6043574b101eb432dfc3353034806bfa18c4560c2dd52ecb4eaddb20d3e67",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-04-05T20:57:22Z",
    "title_canon_sha256": "8e01065811c11d5b98006cbc4da02af0058e1a14ec732dda28faba2fae19bb48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.02487",
    "kind": "arxiv",
    "version": 4
  }
}