Pith Number

pith:RCWVXDPR

pith:2013:RCWVXDPRCLO442YWRJLSZC7GJF

not attested not anchored not stored refs pending

Identity Families of Multiple Harmonic Sums and Multiple Zeta (Star) Values

Jianqiang Zhao

arxiv:1303.2227 v4 · 2013-03-09 · 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{RCWVXDPRCLO442YWRJLSZC7GJF}

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	2026-05-18T00:19:14.743413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88ad5b8df112ddce6b168a572c8be6496835f59877abce7ca2b6bb921f6cd985

Aliases

arxiv: 1303.2227 · arxiv_version: 1303.2227v4 · doi: 10.48550/arxiv.1303.2227 · pith_short_12: RCWVXDPRCLO4 · pith_short_16: RCWVXDPRCLO442YW · pith_short_8: RCWVXDPR

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/RCWVXDPRCLO442YWRJLSZC7GJF \
  | 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: 88ad5b8df112ddce6b168a572c8be6496835f59877abce7ca2b6bb921f6cd985

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "406013323502a928c4ff8abd69120ba58935541b256fdac5882a83b56b31ae36",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-03-09T16:06:29Z",
    "title_canon_sha256": "f5a8db1fe67ae40e6dc4abd4b91109d2640a62a3cd875b397785b81e19a11091"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2227",
    "kind": "arxiv",
    "version": 4
  }
}