Pith Number

pith:HW27QSY6

pith:2014:HW27QSY6KGXM6GQD4W47SW3D4F

not attested not anchored not stored refs pending

New congruences involving harmonic numbers

Zhi-Wei Sun

arxiv:1407.8465 v5 · 2014-07-31 · 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{HW27QSY6KGXM6GQD4W47SW3D4F}

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	2026-07-05T07:31:49.741043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3db5f84b1e51aecf1a03e5b9f95b63e166ebffed01d3c9964907bb1a9f2fecff

Aliases

arxiv: 1407.8465 · arxiv_version: 1407.8465v5 · doi: 10.48550/arxiv.1407.8465 · pith_short_12: HW27QSY6KGXM · pith_short_16: HW27QSY6KGXM6GQD · pith_short_8: HW27QSY6

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/HW27QSY6KGXM6GQD4W47SW3D4F \
  | 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: 3db5f84b1e51aecf1a03e5b9f95b63e166ebffed01d3c9964907bb1a9f2fecff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "398a2aba4cc3dd76c8e5eb7c09780192aaec2322be8a4a2999f9bd8a74909c46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-07-31T15:53:32Z",
    "title_canon_sha256": "09589902e164767c41a4558d2917079b1d8838421c384c06e2e6fb8a97de5498"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.8465",
    "kind": "arxiv",
    "version": 5
  }
}