Pith Number

pith:IV33HWOC

pith:2018:IV33HWOCSTRAHO537WVPF43O3N

not attested not anchored not stored refs pending

Direct families of polytopes with nontrivial Massey products

Ivan Limonchenko, Victor Buchstaber

arxiv:1811.02221 v1 · 2018-11-06 · math.AT · 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{IV33HWOCSTRAHO537WVPF43O3N}

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	2026-05-18T00:01:24.775952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4577b3d9c294e203bbbbfdaaf2f36edb723327adfc10a0492324ea5061edd0ac

Aliases

arxiv: 1811.02221 · arxiv_version: 1811.02221v1 · doi: 10.48550/arxiv.1811.02221 · pith_short_12: IV33HWOCSTRA · pith_short_16: IV33HWOCSTRAHO53 · pith_short_8: IV33HWOC

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/IV33HWOCSTRAHO537WVPF43O3N \
  | 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: 4577b3d9c294e203bbbbfdaaf2f36edb723327adfc10a0492324ea5061edd0ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cc73e7aa09982d39ea6eca0a0de498df53e80a12843a45f3dd5e16edc6e91be",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-11-06T08:43:32Z",
    "title_canon_sha256": "5d87d8bd4dccdf1184c61bf8ae717ee4cda9be3563725c92d9cfbfe0f3d0fd9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.02221",
    "kind": "arxiv",
    "version": 1
  }
}