Pith Number

pith:MGMNNPI3

pith:2017:MGMNNPI3I5WFBSCJGGOTQXUXK5

not attested not anchored not stored refs pending

On the Orbits of Crossed Cubes

Kung-Jui Pai, Tzong-Huei Shiau, Yue-Li Wang

arxiv:1707.06763 v2 · 2017-07-21 · cs.DM · 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{MGMNNPI3I5WFBSCJGGOTQXUXK5}

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	2026-05-18T00:39:11.787068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6198d6bd1b476c50c849319d385e975761fd0931cf34a5437670dbfb65e4c921

Aliases

arxiv: 1707.06763 · arxiv_version: 1707.06763v2 · doi: 10.48550/arxiv.1707.06763 · pith_short_12: MGMNNPI3I5WF · pith_short_16: MGMNNPI3I5WFBSCJ · pith_short_8: MGMNNPI3

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/MGMNNPI3I5WFBSCJGGOTQXUXK5 \
  | 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: 6198d6bd1b476c50c849319d385e975761fd0931cf34a5437670dbfb65e4c921

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a39f31a2b57995e612c615b1f07e58fb39438d52000cc42247dabf911e86f102",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2017-07-21T05:52:17Z",
    "title_canon_sha256": "4d96dc47fcc1c25fbff460740731ef8c29480a84dcf7b799e284ebac64dc462f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.06763",
    "kind": "arxiv",
    "version": 2
  }
}