pith. sign in
Pith Number

pith:MQB6B2YJ

pith:2013:MQB6B2YJKVJLPJJUE7HAO35TKY
not attested not anchored not stored refs pending

Test vectors and central L-values for GL(2)

Ameya Pitale, Daniel File, Kimball Martin

arxiv:1310.1765 v2 · 2013-10-07 · math.NT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MQB6B2YJKVJLPJJUE7HAO35TKY}

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 2026-05-18T00:35:49.345130Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6403e0eb095552b7a53427ce076fb3561a06afb74561c2b96f2233dc14985f90

Aliases

arxiv: 1310.1765 · arxiv_version: 1310.1765v2 · doi: 10.48550/arxiv.1310.1765 · pith_short_12: MQB6B2YJKVJL · pith_short_16: MQB6B2YJKVJLPJJU · pith_short_8: MQB6B2YJ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MQB6B2YJKVJLPJJUE7HAO35TKY \
  | 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: 6403e0eb095552b7a53427ce076fb3561a06afb74561c2b96f2233dc14985f90
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "63109a8939d69c05b3dfe7b754a3385a1a55c46b51b3501fb5fbe647313f5864",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-10-07T12:57:03Z",
    "title_canon_sha256": "5a835cf10321d31f46a3ec6ce7d1f38e1d3c33ed32c96a6c08e89365857df5ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1765",
    "kind": "arxiv",
    "version": 2
  }
}