Pith Number

pith:HJDCS5SB

pith:2016:HJDCS5SBNL5GM24NLJHU7MRJS2

not attested not anchored not stored refs pending

Linear transformations and strong $q$-log-concavity for certain combinatorial triangle

Bao-Xuan Zhu

arxiv:1605.00257 v1 · 2016-05-01 · 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{HJDCS5SBNL5GM24NLJHU7MRJS2}

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	2026-05-18T01:15:56.322406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a462976416afa666b8d5a4f4fb22996b218ea6eedcc78f7dfacd6aa3e7298a9

Aliases

arxiv: 1605.00257 · arxiv_version: 1605.00257v1 · doi: 10.48550/arxiv.1605.00257 · pith_short_12: HJDCS5SBNL5G · pith_short_16: HJDCS5SBNL5GM24N · pith_short_8: HJDCS5SB

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/HJDCS5SBNL5GM24NLJHU7MRJS2 \
  | 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: 3a462976416afa666b8d5a4f4fb22996b218ea6eedcc78f7dfacd6aa3e7298a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a5a18bd0eb1c5fadd488e7d751071da30e5c8a2da1a9bf616b1a11ef51aa1f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-01T14:21:25Z",
    "title_canon_sha256": "7069125a4ac4f40a23f4220a7701026b9a4b437e172e2ca2406bca941ca61a77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00257",
    "kind": "arxiv",
    "version": 1
  }
}