Pith Number

pith:43UO4KK7

pith:2008:43UO4KK7EWBOVWSVBEIPKFLYRW

not attested not anchored not stored refs pending

The second moment of Dirichlet twists of Hecke $L$-functions

Guillaume Ricotta, Peng Gao, Rizwanur Khan

arxiv:0812.2606 v2 · 2008-12-14 · 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{43UO4KK7EWBOVWSVBEIPKFLYRW}

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	2026-05-18T02:15:10.447436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6e8ee295f2582eada550910f515788d9d026b1ad1df557497a686b5a65329fc

Aliases

arxiv: 0812.2606 · arxiv_version: 0812.2606v2 · doi: 10.48550/arxiv.0812.2606 · pith_short_12: 43UO4KK7EWBO · pith_short_16: 43UO4KK7EWBOVWSV · pith_short_8: 43UO4KK7

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/43UO4KK7EWBOVWSVBEIPKFLYRW \
  | 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: e6e8ee295f2582eada550910f515788d9d026b1ad1df557497a686b5a65329fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18d698e3676a5d195e8e74f6a336e2fc631ac32ff2bda50896c9ce3eec2a49fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-12-14T07:26:28Z",
    "title_canon_sha256": "c2e4a2be7ab008efc1ce99be712344260c03ae410cfd3c235682a8b73fbdea66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.2606",
    "kind": "arxiv",
    "version": 2
  }
}