Pith Number

pith:RCPV4LPQ

pith:2017:RCPV4LPQODXBHK2A3TFLOT5NPC

not attested not anchored not stored refs pending

Powers of Jacobi triple product, Cohen's numbers and the Ramanujan $\Delta$-function

Haowu Wang, Valery Gritsenko

arxiv:1710.10025 v1 · 2017-10-27 · 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{RCPV4LPQODXBHK2A3TFLOT5NPC}

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	2026-05-18T00:31:54.953920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

889f5e2df070ee13ab40dccab74fad7883e60f95473e69c1fc56b6749b3d3352

Aliases

arxiv: 1710.10025 · arxiv_version: 1710.10025v1 · doi: 10.48550/arxiv.1710.10025 · pith_short_12: RCPV4LPQODXB · pith_short_16: RCPV4LPQODXBHK2A · pith_short_8: RCPV4LPQ

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/RCPV4LPQODXBHK2A3TFLOT5NPC \
  | 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: 889f5e2df070ee13ab40dccab74fad7883e60f95473e69c1fc56b6749b3d3352

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c25f0efb38eba5bd59cece8cf3d33762ef8095a260491bd4319959357dd92fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-10-27T08:36:58Z",
    "title_canon_sha256": "db9b43ae894db19cec35c85e0ee931fcec38511b75a5cd3cbb501f33dff44248"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.10025",
    "kind": "arxiv",
    "version": 1
  }
}