Pith Number

pith:LB2DIESU

pith:2014:LB2DIESUUFFX7JVLHL6CO6EMOA

not attested not anchored not stored refs pending

Congruences Involving Multiple Harmonic Sums and Finite Multiple Zeta Values

Jianqiang Zhao

arxiv:1404.3549 v3 · 2014-04-14 · 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{LB2DIESUUFFX7JVLHL6CO6EMOA}

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	2026-05-18T00:19:14.706490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5874341254a14b7fa6ab3afc27788c7033ebf6cc9ff2d70c167437f4db2e2739

Aliases

arxiv: 1404.3549 · arxiv_version: 1404.3549v3 · doi: 10.48550/arxiv.1404.3549 · pith_short_12: LB2DIESUUFFX · pith_short_16: LB2DIESUUFFX7JVL · pith_short_8: LB2DIESU

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/LB2DIESUUFFX7JVLHL6CO6EMOA \
  | 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: 5874341254a14b7fa6ab3afc27788c7033ebf6cc9ff2d70c167437f4db2e2739

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a346208bd47c9dfc15dd6e62f4604ba790980492d5cb43d4cc1d0243dcee0968",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-04-14T12:02:16Z",
    "title_canon_sha256": "470c0e80283d28bb8fba11c6d94598b79010a60c81344b128d87b127b1233a72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.3549",
    "kind": "arxiv",
    "version": 3
  }
}