Pith Number

pith:4AGSCMN5

pith:2026:4AGSCMN5XKI5N3MM2Y7UR7WTMZ

not attested not anchored not stored refs pending

Proof of a Conjectured Ramanujan Type Master Theorem for Powers of the Cosecant

Zachary P. Bradshaw

arxiv:2607.27241 v1 · 2026-07-26 · math.CV · 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{4AGSCMN5XKI5N3MM2Y7UR7WTMZ}

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	2026-07-31T00:10:23.840185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

e00d2131bdba91d6ed8cd63f48fed36679ef85330548573be92a07f064c42ca6

Aliases

arxiv: 2607.27241 · arxiv_version: 2607.27241v1 · doi: 10.48550/arxiv.2607.27241 · pith_short_12: 4AGSCMN5XKI5 · pith_short_16: 4AGSCMN5XKI5N3MM · pith_short_8: 4AGSCMN5

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/4AGSCMN5XKI5N3MM2Y7UR7WTMZ \
  | 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: e00d2131bdba91d6ed8cd63f48fed36679ef85330548573be92a07f064c42ca6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "725fe71c19e384773538c2f640847c739b621c553b5e4a66c3ab14fd8f41285b",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2026-07-26T22:32:01Z",
    "title_canon_sha256": "b0894419050a4d7379380622444f4f36cd9507083facdfc2a962483893c13af8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27241",
    "kind": "arxiv",
    "version": 1
  }
}