Pith Number

pith:C3B7BDKW

pith:2013:C3B7BDKWEV574BOJVL2LLYD74Q

not attested not anchored not stored refs pending

The circle method and bounds for $L$-functions - IV: Subconvexity for twists of $GL(3)$ $L$-functions - B

Ritabrata Munshi

arxiv:1311.6120 v2 · 2013-11-24 · 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{C3B7BDKWEV574BOJVL2LLYD74Q}

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	2026-05-18T02:58:56.501134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16c3f08d56257bfe05c9aaf4b5e07fe42ed8ffaeb49808b49c4f1d77e188e206

Aliases

arxiv: 1311.6120 · arxiv_version: 1311.6120v2 · doi: 10.48550/arxiv.1311.6120 · pith_short_12: C3B7BDKWEV57 · pith_short_16: C3B7BDKWEV574BOJ · pith_short_8: C3B7BDKW

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/C3B7BDKWEV574BOJVL2LLYD74Q \
  | 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: 16c3f08d56257bfe05c9aaf4b5e07fe42ed8ffaeb49808b49c4f1d77e188e206

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8656076ca2445373efd0d7cb813da3fd38e82e37c172698c72ec618eafdf627",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-11-24T13:44:56Z",
    "title_canon_sha256": "31501f5bfd784f05bf01ff966b557387aa680194e5a56efeb7a98c66871965a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6120",
    "kind": "arxiv",
    "version": 2
  }
}