Pith Number

pith:FTAVSMVX

pith:2015:FTAVSMVXGPN2AHSRLEMHASWYEB

not attested not anchored not stored refs pending

Efficient computation of middle levels Gray codes

Jerri Nummenpalo, Torsten M\"utze

arxiv:1506.07898 v4 · 2015-06-25 · cs.DS · cs.DM · 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{FTAVSMVXGPN2AHSRLEMHASWYEB}

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	2026-05-18T00:42:07.915359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cc15932b733dba01e515918704ad8205770e51d047d89ecc4107e5a0621d3c8

Aliases

arxiv: 1506.07898 · arxiv_version: 1506.07898v4 · doi: 10.48550/arxiv.1506.07898 · pith_short_12: FTAVSMVXGPN2 · pith_short_16: FTAVSMVXGPN2AHSR · pith_short_8: FTAVSMVX

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/FTAVSMVXGPN2AHSRLEMHASWYEB \
  | 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: 2cc15932b733dba01e515918704ad8205770e51d047d89ecc4107e5a0621d3c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df2f58940c2332433b18b0bed6d7ada10fe09fc9bf5e9d88a510fe0c975ab3ca",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2015-06-25T20:50:17Z",
    "title_canon_sha256": "b8b635f16ae38f7336b61c48d721cf8355d3594d1be90c9a3e49e963cbd21bee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07898",
    "kind": "arxiv",
    "version": 4
  }
}