Pith Number

pith:U2CWUVKK

pith:2008:U2CWUVKKGOAAIFVRVTE2FS2PGF

not attested not anchored not stored refs pending

Non-vanishing of the symmetric square $L$-function at the central point

Rizwanur Khan

arxiv:0803.1870 v3 · 2008-03-12 · 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{U2CWUVKKGOAAIFVRVTE2FS2PGF}

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	2026-05-18T02:58:11.710595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6856a554a33800416b1acc9a2cb4f3141c464d85da3c08bf453a62d1a9f1afa

Aliases

arxiv: 0803.1870 · arxiv_version: 0803.1870v3 · doi: 10.48550/arxiv.0803.1870 · pith_short_12: U2CWUVKKGOAA · pith_short_16: U2CWUVKKGOAAIFVR · pith_short_8: U2CWUVKK

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/U2CWUVKKGOAAIFVRVTE2FS2PGF \
  | 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: a6856a554a33800416b1acc9a2cb4f3141c464d85da3c08bf453a62d1a9f1afa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8885293583b3faad90e73865826d8ee54ff601ba7a26ae7aff971cd907372f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-03-12T23:05:58Z",
    "title_canon_sha256": "eb458231e707eb3b4e7f28e54d3c4c5581917f915b27484d8bb99af1b9ea844a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.1870",
    "kind": "arxiv",
    "version": 3
  }
}