Pith Number

pith:CUEBYHIO

pith:2013:CUEBYHIOQLXOBJPVUVDW5YWM3O

not attested not anchored not stored refs pending

On $q$-Analogs of Some Families of Multiple Harmonic Sum and Multiple Zeta Star Value Identities

Jianqiang Zhao, Khodabakhsh Hessami Pilehrood, Tatiana Hessami Pilehrood

arxiv:1307.7985 v3 · 2013-07-30 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CUEBYHIOQLXOBJPVUVDW5YWM3O}

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	2026-05-18T00:12:35.980002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15081c1d0e82eee0a5f5a5476ee2ccdbb002d1ef3a7815df52c6f2c106b0dc10

Aliases

arxiv: 1307.7985 · arxiv_version: 1307.7985v3 · doi: 10.48550/arxiv.1307.7985 · pith_short_12: CUEBYHIOQLXO · pith_short_16: CUEBYHIOQLXOBJPV · pith_short_8: CUEBYHIO

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/CUEBYHIOQLXOBJPVUVDW5YWM3O \
  | 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: 15081c1d0e82eee0a5f5a5476ee2ccdbb002d1ef3a7815df52c6f2c106b0dc10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9efafccb8dfa8f5bcc79f914ab20ca698ee3577c03cc4065c594d6d4821d3331",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-30T14:04:30Z",
    "title_canon_sha256": "ccc3d03fe4b5bcb33baef9d7ea59f54aa2c083e3ddaed3636af3839570a8edf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7985",
    "kind": "arxiv",
    "version": 3
  }
}