Pith Number

pith:HBFDRIZD

pith:2005:HBFDRIZDZGKXX4RNCBBCFCZXNJ

not attested not anchored not stored refs pending

Sloping Binary Numbers: A New Sequence Related to the Binary Numbers

Benoit Cloitre, David Applegate, N. J. A. Sloane, Philippe Del\'eham

arxiv:math/0505295 v1 · 2005-05-13 · math.NT · 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{HBFDRIZDZGKXX4RNCBBCFCZXNJ}

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	2026-05-18T01:08:51.083571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

384a38a323c9957bf22d1042228b376a5e1be83f29b00738ca788ad91b8d2618

Aliases

arxiv: math/0505295 · arxiv_version: math/0505295v1 · doi: 10.48550/arxiv.math/0505295 · pith_short_12: HBFDRIZDZGKX · pith_short_16: HBFDRIZDZGKXX4RN · pith_short_8: HBFDRIZD

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/HBFDRIZDZGKXX4RNCBBCFCZXNJ \
  | 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: 384a38a323c9957bf22d1042228b376a5e1be83f29b00738ca788ad91b8d2618

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "452a0caca9d44ad3765612cc7a6b7b5e29af6d41b447b7b06491602f26c6db72",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2005-05-13T21:58:33Z",
    "title_canon_sha256": "d76e3759cdfd2f7ee23662c57ad80160f49c6e9d38f3921a7217f0fa06a6cec3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0505295",
    "kind": "arxiv",
    "version": 1
  }
}