Pith Number

pith:4ZQWLAKH

pith:2014:4ZQWLAKHW3VLAQ53VZ6D7HGTOE

not attested not anchored not stored refs pending

Some $q$-congruences for homogeneous and quasi-homogeneous multiple $q$-harmonic sums

Khodabakhsh Hessami Pilehrood, Roberto Tauraso, Tatiana Hessami Pilehrood

arxiv:1406.4022 v3 · 2014-06-16 · 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{4ZQWLAKHW3VLAQ53VZ6D7HGTOE}

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	2026-05-18T01:37:51.223452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e661658147b6eab043bbae7c3f9cd371190867e1ff264776e25cbefe4c5d9418

Aliases

arxiv: 1406.4022 · arxiv_version: 1406.4022v3 · doi: 10.48550/arxiv.1406.4022 · pith_short_12: 4ZQWLAKHW3VL · pith_short_16: 4ZQWLAKHW3VLAQ53 · pith_short_8: 4ZQWLAKH

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/4ZQWLAKHW3VLAQ53VZ6D7HGTOE \
  | 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: e661658147b6eab043bbae7c3f9cd371190867e1ff264776e25cbefe4c5d9418

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a23e7f370327a5e526f0ceb84d47c03c1a820d8149be34e376869fac627dbcf2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-16T14:10:19Z",
    "title_canon_sha256": "e788b45f738f63c816e04fbfe2a3ff41f622af9eaa6f76e766d77fc67dec4fb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.4022",
    "kind": "arxiv",
    "version": 3
  }
}