Pith Number

pith:ZGUS7A76

pith:2012:ZGUS7A76GBV7NQSAC3LFV6SLJV

not attested not anchored not stored refs pending

Nodal domains of Maass forms I

Amit Ghosh, Andre Reznikov, Peter Sarnak

arxiv:1207.6625 v3 · 2012-07-27 · math.NT · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZGUS7A76GBV7NQSAC3LFV6SLJV}

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	2026-05-18T02:21:07.935229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9a92f83fe306bf6c24016d65afa4b4d67d766736e54009bfcd5df608c0df635

Aliases

arxiv: 1207.6625 · arxiv_version: 1207.6625v3 · doi: 10.48550/arxiv.1207.6625 · pith_short_12: ZGUS7A76GBV7 · pith_short_16: ZGUS7A76GBV7NQSA · pith_short_8: ZGUS7A76

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/ZGUS7A76GBV7NQSAC3LFV6SLJV \
  | 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: c9a92f83fe306bf6c24016d65afa4b4d67d766736e54009bfcd5df608c0df635

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fbe062fc1ba2f3db329ad8fe73336230441d572d26f31dec3db6a93c8b99554",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-07-27T19:40:16Z",
    "title_canon_sha256": "33166f3d26c1044073971f764b5dbd212279f5fc4744ff43f3b6fcb593eff876"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6625",
    "kind": "arxiv",
    "version": 3
  }
}