Pith Number

pith:U3FB5IGL

pith:2012:U3FB5IGLW7IUSPLDHPBQF4SC2Q

not attested not anchored not stored refs pending

Normal cyclic polytopes and cyclic polytopes that are not very ample

Akihiro Higashitani, Lukas Katth\"an, Ryota Okazaki, Takayuki Hibi

arxiv:1202.6117 v4 · 2012-02-28 · 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{U3FB5IGLW7IUSPLDHPBQF4SC2Q}

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	2026-05-17T23:53:36.303392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6ca1ea0cbb7d1493d633bc302f242d4267605d06ad3d3fd1c988cfc1be51cbc

Aliases

arxiv: 1202.6117 · arxiv_version: 1202.6117v4 · doi: 10.48550/arxiv.1202.6117 · pith_short_12: U3FB5IGLW7IU · pith_short_16: U3FB5IGLW7IUSPLD · pith_short_8: U3FB5IGL

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/U3FB5IGLW7IUSPLDHPBQF4SC2Q \
  | 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: a6ca1ea0cbb7d1493d633bc302f242d4267605d06ad3d3fd1c988cfc1be51cbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be88a187d0c6dce72541f77d3fce29ce7dff9abec7400606940d6aebe7dac0d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-02-28T05:30:50Z",
    "title_canon_sha256": "2a57ea18c0c553ef4afd260d19016d20ec46df61c8f85b45ac019679cdbf3d91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.6117",
    "kind": "arxiv",
    "version": 4
  }
}