Pith Number

pith:ZVNJLASW

pith:2018:ZVNJLASWIEK67LPBDZ3HBRHRMY

not attested not anchored not stored refs pending

Expected Number of Vertices of a Hypercube Slice

Hunter Swan

arxiv:1808.09482 v1 · 2018-08-28 · math.PR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZVNJLASWIEK67LPBDZ3HBRHRMY}

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	2026-05-18T00:06:55.458271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd5a9582564115efade11e7670c4f16637a9c0a50c91405e4f28fd071f882270

Aliases

arxiv: 1808.09482 · arxiv_version: 1808.09482v1 · doi: 10.48550/arxiv.1808.09482 · pith_short_12: ZVNJLASWIEK6 · pith_short_16: ZVNJLASWIEK67LPB · pith_short_8: ZVNJLASW

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/ZVNJLASWIEK67LPBDZ3HBRHRMY \
  | 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: cd5a9582564115efade11e7670c4f16637a9c0a50c91405e4f28fd071f882270

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "424878c0c4af6d981f94836e96409cde89e4f7501452ac2517eba5c09ae51942",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-08-28T18:32:05Z",
    "title_canon_sha256": "2bf372d89623870a942186e473f1db316a4bb8c050d976fc73cf2d56fba2470a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09482",
    "kind": "arxiv",
    "version": 1
  }
}