Pith Number

pith:ZPNJ6XEL

pith:2017:ZPNJ6XELZ3Y7SANEB5HGCQESI2

not attested not anchored not stored refs pending

Two results about the hypercube

Adam Zsolt Wagner, Jozsef Balogh, Tamas Meszaros

arxiv:1710.08509 v1 · 2017-10-23 · 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{ZPNJ6XELZ3Y7SANEB5HGCQESI2}

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	2026-05-18T00:32:15.847907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbda9f5c8bcef1f901a40f4e6140924691d67b9ceb07ad53dbd91e15aa92276b

Aliases

arxiv: 1710.08509 · arxiv_version: 1710.08509v1 · doi: 10.48550/arxiv.1710.08509 · pith_short_12: ZPNJ6XELZ3Y7 · pith_short_16: ZPNJ6XELZ3Y7SANE · pith_short_8: ZPNJ6XEL

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/ZPNJ6XELZ3Y7SANEB5HGCQESI2 \
  | 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: cbda9f5c8bcef1f901a40f4e6140924691d67b9ceb07ad53dbd91e15aa92276b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e03090bfaf8cb28912a478e6393e7922e451569ff76df0401c4dbc63c2837e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-23T21:20:09Z",
    "title_canon_sha256": "46565641fccce0bacb7bf4694250313a3328690fb5fa1ced60a8278a7563f92e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.08509",
    "kind": "arxiv",
    "version": 1
  }
}