Pith Number

pith:HLHTXBCC

pith:2017:HLHTXBCCI47HXLNG6KVHDJEGXB

not attested not anchored not stored refs pending

Super Congruences Involving Multiple Harmonic Sums and Bernoulli Numbers

Jianqiang Zhao, Kevin Chen

arxiv:1702.08401 v2 · 2017-02-27 · 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{HLHTXBCCI47HXLNG6KVHDJEGXB}

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	2026-05-18T00:19:19.461158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3acf3b8442473e7bada6f2aa71a486b84bf7ce5621764d5de7a5f4e80978dcf2

Aliases

arxiv: 1702.08401 · arxiv_version: 1702.08401v2 · doi: 10.48550/arxiv.1702.08401 · pith_short_12: HLHTXBCCI47H · pith_short_16: HLHTXBCCI47HXLNG · pith_short_8: HLHTXBCC

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/HLHTXBCCI47HXLNG6KVHDJEGXB \
  | 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: 3acf3b8442473e7bada6f2aa71a486b84bf7ce5621764d5de7a5f4e80978dcf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c1dfe0f738f1637c5c60e19968420197cb9fa891e3763d5c8051ef652c24795",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-02-27T17:48:25Z",
    "title_canon_sha256": "b164031a0e825b8a6e271c01aa0daaf9e2f1d0d7a34477ed9932da4fc06372de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.08401",
    "kind": "arxiv",
    "version": 2
  }
}