Pith Number

pith:N56B6GHY

pith:2017:N56B6GHYRHP5MOYTBSCI2FOLEQ

not attested not anchored not stored refs pending

Differential operators on polar harmonic Maass forms and elliptic duality

Ben Kane, Kathrin Bringmann, Paul Jenkins

arxiv:1704.08649 v1 · 2017-04-27 · 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{N56B6GHYRHP5MOYTBSCI2FOLEQ}

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	2026-05-18T00:45:27.242262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f7c1f18f889dfd63b130c848d15cb242aa1493c8fe9f0c587dee77438c43c97

Aliases

arxiv: 1704.08649 · arxiv_version: 1704.08649v1 · doi: 10.48550/arxiv.1704.08649 · pith_short_12: N56B6GHYRHP5 · pith_short_16: N56B6GHYRHP5MOYT · pith_short_8: N56B6GHY

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/N56B6GHYRHP5MOYTBSCI2FOLEQ \
  | 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: 6f7c1f18f889dfd63b130c848d15cb242aa1493c8fe9f0c587dee77438c43c97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cfcaf0216e0b42ad11371f23425f6efab7716800694ea7425693c1a4cb40140",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-04-27T16:40:39Z",
    "title_canon_sha256": "ea006e566b4131bbe6b1d5c4f3fafed6c996c7f42688ff2e70ea12c822babc00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.08649",
    "kind": "arxiv",
    "version": 1
  }
}