Pith Number

pith:U6EMPYC2

pith:2026:U6EMPYC2ISCMUXEH22KHOYSGTI

not attested not anchored not stored refs pending

Large Sets of Integers with No Harmonic Triples

Samuel Korsky

arxiv:2607.05823 v1 · 2026-07-07 · math.NT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U6EMPYC2ISCMUXEH22KHOYSGTI}

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	2026-07-08T01:18:47.060176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a788c7e05a4484ca5c87d6947762469a227d0f02ef78435601eb3d8455df1edf

Aliases

arxiv: 2607.05823 · arxiv_version: 2607.05823v1 · doi: 10.48550/arxiv.2607.05823 · pith_short_12: U6EMPYC2ISCM · pith_short_16: U6EMPYC2ISCMUXEH · pith_short_8: U6EMPYC2

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/U6EMPYC2ISCMUXEH22KHOYSGTI \
  | 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: a788c7e05a4484ca5c87d6947762469a227d0f02ef78435601eb3d8455df1edf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27c3afd47f44a6036b9db6aa6441d6b47f0e3e6613c13c684cdcc47ffad70ddb",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-07T04:40:06Z",
    "title_canon_sha256": "e7b35370a1764f333851f54fed840b636eeb81e28057fb07a1a7852e6586d3cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05823",
    "kind": "arxiv",
    "version": 1
  }
}