Pith Number

pith:X27MROXY

pith:2011:X27MROXYKKIQFTGT54GRTRQETG

not attested not anchored not stored refs pending

Low-lying Zeros of Cuspidal Maass Forms

Geoffrey Iyer, Liyang Zhang, Nadine Amersi, Oleg Lazarev, Steven J. Miller

arxiv:1111.6524 v2 · 2011-11-28 · 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{X27MROXYKKIQFTGT54GRTRQETG}

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	2026-05-18T04:06:20.397705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bebec8baf8529102ccd3ef0d19c60499aba1a894da1eab2201716a0674e91e8f

Aliases

arxiv: 1111.6524 · arxiv_version: 1111.6524v2 · doi: 10.48550/arxiv.1111.6524 · pith_short_12: X27MROXYKKIQ · pith_short_16: X27MROXYKKIQFTGT · pith_short_8: X27MROXY

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/X27MROXYKKIQFTGT54GRTRQETG \
  | 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: bebec8baf8529102ccd3ef0d19c60499aba1a894da1eab2201716a0674e91e8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fee441640f22a58d5a6be80d4b5ccddf94231b0c6e877ec26ae313ee52638cd0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-11-28T17:20:21Z",
    "title_canon_sha256": "7a6a13b3a7e0da1ca36f92cd161caceeb37b61b4b57ede7422cc54ffcceb29d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6524",
    "kind": "arxiv",
    "version": 2
  }
}