Pith Number

pith:R5MPJ4YE

pith:2016:R5MPJ4YE3SCOIAR6WNWMJ5233L

not attested not anchored not stored refs pending

On Divisors of Modular Forms

Ben Kane, Kathrin Bringmann, Ken Ono, Larry Rolen, Steffen L\"obrich

arxiv:1609.08100 v4 · 2016-09-26 · 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{R5MPJ4YE3SCOIAR6WNWMJ5233L}

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	2026-05-18T00:48:01.029517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f58f4f304dc84e4023eb36cc4f75bdac6e327de81a80cb70bfcf6b4dfb02944

Aliases

arxiv: 1609.08100 · arxiv_version: 1609.08100v4 · doi: 10.48550/arxiv.1609.08100 · pith_short_12: R5MPJ4YE3SCO · pith_short_16: R5MPJ4YE3SCOIAR6 · pith_short_8: R5MPJ4YE

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/R5MPJ4YE3SCOIAR6WNWMJ5233L \
  | 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: 8f58f4f304dc84e4023eb36cc4f75bdac6e327de81a80cb70bfcf6b4dfb02944

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d790edfd40f441ed30eecd7bfa50f1e51fea4d1cc8a5426efd71b2f32657722",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-09-26T18:02:34Z",
    "title_canon_sha256": "62e0e8021d3cf6731f2d0064b702fe5b576586df8bf59520dacdf1dbf3d7c42a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08100",
    "kind": "arxiv",
    "version": 4
  }
}