Pith Number

pith:QZDWBT7H

pith:2011:QZDWBT7HB6SNJYHAGCANTAXXF2

not attested not anchored not stored refs pending

On the number of hypercubic bipartitions of an integer

Geir Agnarsson

arxiv:1106.4997 v1 · 2011-06-24 · 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{QZDWBT7HB6SNJYHAGCANTAXXF2}

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	2026-05-18T04:19:22.609692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

864760cfe70fa4d4e0e03080d982f72eafe67e81fa53c15289c3c44dd70e5e1a

Aliases

arxiv: 1106.4997 · arxiv_version: 1106.4997v1 · doi: 10.48550/arxiv.1106.4997 · pith_short_12: QZDWBT7HB6SN · pith_short_16: QZDWBT7HB6SNJYHA · pith_short_8: QZDWBT7H

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/QZDWBT7HB6SNJYHAGCANTAXXF2 \
  | 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: 864760cfe70fa4d4e0e03080d982f72eafe67e81fa53c15289c3c44dd70e5e1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d20c69a241321ad3491564459c1eaadcdf8b0b982f57ed52c29df782f5725e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-06-24T15:33:43Z",
    "title_canon_sha256": "e3c11e5fa6f9ebaa0ea648dc18f2388a902dff3779a7937d3a943c4839004545"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4997",
    "kind": "arxiv",
    "version": 1
  }
}