Pith Number

pith:D5QZEMFA

pith:2006:D5QZEMFAXPLCTXIZR63VCQRIQG

not attested not anchored not stored refs pending

Lower bounds for moments of L-functions: symplectic and orthogonal examples

K. Soundararajan, Z. Rudnick

arxiv:math/0601498 v1 · 2006-01-20 · 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{D5QZEMFAXPLCTXIZR63VCQRIQG}

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	2026-07-04T14:52:50.290830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f619230a0bbd629dd198fb75142288195531e61d44c8803f2d4cbd788a1d458

Aliases

arxiv: math/0601498 · arxiv_version: math/0601498v1 · doi: 10.48550/arxiv.math/0601498 · pith_short_12: D5QZEMFAXPLC · pith_short_16: D5QZEMFAXPLCTXIZ · pith_short_8: D5QZEMFA

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/D5QZEMFAXPLCTXIZR63VCQRIQG \
  | 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: 1f619230a0bbd629dd198fb75142288195531e61d44c8803f2d4cbd788a1d458

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f7868af0c1b2bc2d51040f599e3f377af4697f3abceecc4c98fb8b40b8d1130",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2006-01-20T15:53:50Z",
    "title_canon_sha256": "5613f49decd627313738e30c8e7b7f323099d87b7a8d332c237fabf83f4d0011"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0601498",
    "kind": "arxiv",
    "version": 1
  }
}