Pith Number

pith:ZVL6SRYZ

pith:2016:ZVL6SRYZYAPFIHQTMZCDS6RJ6J

not attested not anchored not stored refs pending

Bisecting binomial coefficients

Eugen J. Ionascu, Pantelimon Stanica, Thor Martinsen

arxiv:1610.02063 v1 · 2016-10-06 · 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{ZVL6SRYZYAPFIHQTMZCDS6RJ6J}

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	2026-05-18T01:02:58.485193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd57e94719c01e541e136644397a29f252eb14f36af4d9fab3d850895a07906e

Aliases

arxiv: 1610.02063 · arxiv_version: 1610.02063v1 · doi: 10.48550/arxiv.1610.02063 · pith_short_12: ZVL6SRYZYAPF · pith_short_16: ZVL6SRYZYAPFIHQT · pith_short_8: ZVL6SRYZ

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/ZVL6SRYZYAPFIHQTMZCDS6RJ6J \
  | 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: cd57e94719c01e541e136644397a29f252eb14f36af4d9fab3d850895a07906e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0edb7c5de80596d1d80be79d07612464e1410e9524b68225696e8acf3a0c3ed3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-06T20:54:53Z",
    "title_canon_sha256": "46bfd308b993087bc1c4e9c84a02240e93df229c551fce1433a10381074e6a46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02063",
    "kind": "arxiv",
    "version": 1
  }
}