Pith Number

pith:JWZTOWIH

pith:2026:JWZTOWIHFKEDIBYSYE3Y5PRGHR

not attested not anchored not stored refs pending

Weighted Derivative Sums of a Gamma Quotient: Sun's Conjecture and Cyclotomic Specializations

Shivam Nalin Patel

arxiv:2607.15303 v1 · 2026-07-13 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JWZTOWIHFKEDIBYSYE3Y5PRGHR}

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	2026-07-20T00:18:25.914558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4db33759072a88340712c1378ebe263c617121bbfbb4fc590085246c95538f5b

Aliases

arxiv: 2607.15303 · arxiv_version: 2607.15303v1 · doi: 10.48550/arxiv.2607.15303 · pith_short_12: JWZTOWIHFKED · pith_short_16: JWZTOWIHFKEDIBYS · pith_short_8: JWZTOWIH

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/JWZTOWIHFKEDIBYSYE3Y5PRGHR \
  | 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: 4db33759072a88340712c1378ebe263c617121bbfbb4fc590085246c95538f5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27bc4cbfc9904608aedf02be3b954240616376e0cfa322700a4286b3605a2ae0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2026-07-13T19:37:26Z",
    "title_canon_sha256": "e56dcfcc8fd972b7854c6f0a9483729970b1ca1dea04b90297818ee86f3743af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15303",
    "kind": "arxiv",
    "version": 1
  }
}