Pith. sign in
Pith Number

pith:AIG4WLJM

pith:2018:AIG4WLJMWP4CAMIFDHTSNXAWWI
not attested not anchored not stored refs pending

Bounds for $GL_3$ $L$-functions in depth aspect

Qingfeng Sun, Rui Zhao

arxiv:1803.10973 v1 · 2018-03-29 · math.NT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{AIG4WLJMWP4CAMIFDHTSNXAWWI}

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 2026-05-18T00:19:49.634771Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

020dcb2d2cb3f820310519e726dc16b2237e399c7814af5028303dc72925f9f1

Aliases

arxiv: 1803.10973 · arxiv_version: 1803.10973v1 · doi: 10.48550/arxiv.1803.10973 · pith_short_12: AIG4WLJMWP4C · pith_short_16: AIG4WLJMWP4CAMIF · pith_short_8: AIG4WLJM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/AIG4WLJMWP4CAMIFDHTSNXAWWI \
  | 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: 020dcb2d2cb3f820310519e726dc16b2237e399c7814af5028303dc72925f9f1
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "dbe12c77ae3985e4685c8ea9f3ac724a2080514da5570c1b8f2241fb36fdebc9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-03-29T09:15:58Z",
    "title_canon_sha256": "ad191da90432f7eb159da4b60101758a4e108d4feed0ad9b8d38b95fd6abf2f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.10973",
    "kind": "arxiv",
    "version": 1
  }
}