Pith Number

pith:DKIE5CXU

pith:2018:DKIE5CXUMJM5CUS7XJ2J4CSDAZ

not attested not anchored not stored refs pending

New code upper bounds for the folded n-cube

Bo Hou, Lihang Hou, Suogang Gao, Wei-Hsuan Yu

arxiv:1801.06971 v1 · 2018-01-22 · 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{DKIE5CXUMJM5CUS7XJ2J4CSDAZ}

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	2026-05-18T00:25:22.652096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a904e8af46259d1525fba749e0a43066c169b4f44aad312f7610b8345355e18

Aliases

arxiv: 1801.06971 · arxiv_version: 1801.06971v1 · doi: 10.48550/arxiv.1801.06971 · pith_short_12: DKIE5CXUMJM5 · pith_short_16: DKIE5CXUMJM5CUS7 · pith_short_8: DKIE5CXU

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/DKIE5CXUMJM5CUS7XJ2J4CSDAZ \
  | 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: 1a904e8af46259d1525fba749e0a43066c169b4f44aad312f7610b8345355e18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f879e7460a8848eb90d50cc72593ed9781620bd32346e057a850027a34cef516",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-01-22T06:47:53Z",
    "title_canon_sha256": "5aa98942eaa27e98a10561337455075ed084b06504d6a7d4bd48923dc602a498"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.06971",
    "kind": "arxiv",
    "version": 1
  }
}