Pith Number

pith:T5UDANGX

pith:2005:T5UDANGXM4VTSTAOJGSOHAOWIF

not attested not anchored not stored refs pending

The fourth moment of Dirichlet $L$-functions

K. Soundararajan

arxiv:math/0507150 v1 · 2005-07-07 · 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{T5UDANGXM4VTSTAOJGSOHAOWIF}

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	2026-07-04T14:40:13.140993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f683034d7672b394c0e49a4e381d641467f00f67cef92dc56cfd2692c5b8492

Aliases

arxiv: math/0507150 · arxiv_version: math/0507150v1 · doi: 10.48550/arxiv.math/0507150 · pith_short_12: T5UDANGXM4VT · pith_short_16: T5UDANGXM4VTSTAO · pith_short_8: T5UDANGX

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/T5UDANGXM4VTSTAOJGSOHAOWIF \
  | 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: 9f683034d7672b394c0e49a4e381d641467f00f67cef92dc56cfd2692c5b8492

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d4f22727569bbf2775fab1cc4dbb4c2efef97cde2233caef114d10bda9ea083",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2005-07-07T16:27:53Z",
    "title_canon_sha256": "847ee969c7b3c7b64abd510b279f890bcae3d1c0199614822bcf04a85632ba75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0507150",
    "kind": "arxiv",
    "version": 1
  }
}