Pith Number

pith:ZGACS2VH

pith:2025:ZGACS2VHFL376ZQPUFBMPLSZTT

not attested not anchored not stored refs pending

Flipping operators and locally harmonic Maass forms

Andreas Mono, Kathrin Bringmann, Larry Rolen

arxiv:2502.09359 v3 · 2025-02-13 · 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{ZGACS2VHFL376ZQPUFBMPLSZTT}

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	2026-07-05T11:52:17.594101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c980296aa72af7ff660fa142c7ae599cec0fd08a982b7928d16c4c13e3e1d74f

Aliases

arxiv: 2502.09359 · arxiv_version: 2502.09359v3 · doi: 10.48550/arxiv.2502.09359 · pith_short_12: ZGACS2VHFL37 · pith_short_16: ZGACS2VHFL376ZQP · pith_short_8: ZGACS2VH

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/ZGACS2VHFL376ZQPUFBMPLSZTT \
  | 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: c980296aa72af7ff660fa142c7ae599cec0fd08a982b7928d16c4c13e3e1d74f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e647ce8431f14e3f5cd5eb21c354288acd283cfafe6e31dd9e6d09dfa483f7e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-02-13T14:22:46Z",
    "title_canon_sha256": "592b179e2484e48aa0762675fc04f8ce9967230a49a94a9986ab4d1a5ba0299c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.09359",
    "kind": "arxiv",
    "version": 3
  }
}