Pith Number

pith:74GLUR5J

pith:2013:74GLUR5JYI45UUDCMIEWE2IHBS

not attested not anchored not stored refs pending

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

Nigel Watt

arxiv:1302.3127 v3 · 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{74GLUR5JYI45UUDCMIEWE2IHBS}

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	2026-05-18T02:55:48.544843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff0cba47a9c239da506262096269070cae924768805968972042711b4e3cf1ba

Aliases

arxiv: 1302.3127 · arxiv_version: 1302.3127v3 · doi: 10.48550/arxiv.1302.3127 · pith_short_12: 74GLUR5JYI45 · pith_short_16: 74GLUR5JYI45UUDC · pith_short_8: 74GLUR5J

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/74GLUR5JYI45UUDCMIEWE2IHBS \
  | 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: ff0cba47a9c239da506262096269070cae924768805968972042711b4e3cf1ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf5451e3b63e69000fb2a5103fa42d08549252703c440b051e1931d231900deb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-02-13T14:53:18Z",
    "title_canon_sha256": "de19561c6cc2a689a8d5fa899388fdc90408c56c5ef5ff290b3a2c4d868112aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3127",
    "kind": "arxiv",
    "version": 3
  }
}