Pith Number

pith:T4P2DBZD

pith:2013:T4P2DBZD6QV2YKEWBD3CEMHHYY

not attested not anchored not stored refs pending

Spectral large sieve inequalities for Hecke congruence subgroups of SL(2,Z[i])

Nigel Watt

arxiv:1302.3112 v1 · 2013-02-13 · 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{T4P2DBZD6QV2YKEWBD3CEMHHYY}

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	2026-05-18T02:54:21.597670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f1fa18723f42bac289608f62230e7c602d2a26852bca2872507e5d83b69f109

Aliases

arxiv: 1302.3112 · arxiv_version: 1302.3112v1 · doi: 10.48550/arxiv.1302.3112 · pith_short_12: T4P2DBZD6QV2 · pith_short_16: T4P2DBZD6QV2YKEW · pith_short_8: T4P2DBZD

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/T4P2DBZD6QV2YKEWBD3CEMHHYY \
  | 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: 9f1fa18723f42bac289608f62230e7c602d2a26852bca2872507e5d83b69f109

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9799b06ceef399e7911d6ac614578e385257cb49b1380fa764947c0e2ca36652",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-02-13T14:23:19Z",
    "title_canon_sha256": "6a8c3676f65d190f40f06e367bcb7464921a5d5729e0193c95c5e09a3d479724"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3112",
    "kind": "arxiv",
    "version": 1
  }
}