Pith Number

pith:J3A5BTJF

pith:2018:J3A5BTJFSK55CWWSD6T3EIN5DV

not attested not anchored not stored refs pending

Smooth centrally symmetric polytopes in dimension 3 are IDP

Akihiro Higashitani, Christian Haase, Johannes Hofscheier, Katharina Jochemko, Lukas Katth\"an, Mateusz Micha{\l}ek, Matthias Beck

arxiv:1802.01046 v2 · 2018-02-03 · math.CO · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J3A5BTJFSK55CWWSD6T3EIN5DV}

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	2026-07-05T00:14:28.800038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ec1d0cd2592bbd15ad21fa7b221bd1d505186f95dd003f06a83b54dd7512936

Aliases

arxiv: 1802.01046 · arxiv_version: 1802.01046v2 · doi: 10.48550/arxiv.1802.01046 · pith_short_12: J3A5BTJFSK55 · pith_short_16: J3A5BTJFSK55CWWS · pith_short_8: J3A5BTJF

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/J3A5BTJFSK55CWWSD6T3EIN5DV \
  | 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: 4ec1d0cd2592bbd15ad21fa7b221bd1d505186f95dd003f06a83b54dd7512936

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3411b0283595b783cab75f874e26ce20b2076bae62082c33499af39f291071c9",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-02-03T22:24:42Z",
    "title_canon_sha256": "e67d356e492fc98bea2acc879a9e96b560463c5ed664cba11cb0ccc57c65314e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.01046",
    "kind": "arxiv",
    "version": 2
  }
}