Pith Number

pith:3QNLH6BG

pith:2017:3QNLH6BG4PUWPUODRW4Q4KWXJO

not attested not anchored not stored refs pending

Differences of Harmonic Numbers and the $abc$-Conjecture

Hector Salgado, Natalia da Silva, Serban Raianu

arxiv:1708.00620 v1 · 2017-08-02 · 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{3QNLH6BG4PUWPUODRW4Q4KWXJO}

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	2026-05-18T00:38:45.227908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc1ab3f826e3e967d1c38db90e2ad74bb74587f4b15ea3c55c7b14e0ce57b2f3

Aliases

arxiv: 1708.00620 · arxiv_version: 1708.00620v1 · doi: 10.48550/arxiv.1708.00620 · pith_short_12: 3QNLH6BG4PUW · pith_short_16: 3QNLH6BG4PUWPUOD · pith_short_8: 3QNLH6BG

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/3QNLH6BG4PUWPUODRW4Q4KWXJO \
  | 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: dc1ab3f826e3e967d1c38db90e2ad74bb74587f4b15ea3c55c7b14e0ce57b2f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb3c6a11e52c9270fff844b680f87e3671dc786f7ead9413decbe849888f6514",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-08-02T07:20:59Z",
    "title_canon_sha256": "8026fb9245cd3327b0f11fbe84242c0e876b8e7f6d6df84af3520d4141273d9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.00620",
    "kind": "arxiv",
    "version": 1
  }
}