Pith Number

pith:QZEE6FCD

pith:2011:QZEE6FCDUE33F5MYGMMSNOMILL

not attested not anchored not stored refs pending

Isometric embeddings of half-cube graphs in half-spin Grassmannians

Mark Pankov

arxiv:1106.5435 v2 · 2011-06-27 · 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{QZEE6FCDUE33F5MYGMMSNOMILL}

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	2026-05-18T03:02:44.175078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86484f1443a137b2f598331926b9885ac48d0b10e84490109d2ea3e1d8b49c35

Aliases

arxiv: 1106.5435 · arxiv_version: 1106.5435v2 · doi: 10.48550/arxiv.1106.5435 · pith_short_12: QZEE6FCDUE33 · pith_short_16: QZEE6FCDUE33F5MY · pith_short_8: QZEE6FCD

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/QZEE6FCDUE33F5MYGMMSNOMILL \
  | 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: 86484f1443a137b2f598331926b9885ac48d0b10e84490109d2ea3e1d8b49c35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0efbf116adb92e5473a2fc8d11b7e33ce59b16a3398c595344a85d42e1058859",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-06-27T16:35:53Z",
    "title_canon_sha256": "a96759cd0e27be53b6aea83bf565f0d06f1d4b27a71a58d8a0ffcbebc564d33b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5435",
    "kind": "arxiv",
    "version": 2
  }
}