Pith Number

pith:XSFKKFB5

pith:2013:XSFKKFB5FQMPESRIZTVQWPZ3CG

not attested not anchored not stored refs pending

Asymptotics of Landau constants with optimal error bounds

Saiyu Liu, Shuaixia Xu, Yuqiu Zhao, Yutian Li

arxiv:1309.4564 v2 · 2013-09-18 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XSFKKFB5FQMPESRIZTVQWPZ3CG}

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	2026-05-18T02:30:22.897191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc8aa5143d2c18f24a28cceb0b3f3b119413278d41862a64096e68f377d21f58

Aliases

arxiv: 1309.4564 · arxiv_version: 1309.4564v2 · doi: 10.48550/arxiv.1309.4564 · pith_short_12: XSFKKFB5FQMP · pith_short_16: XSFKKFB5FQMPESRI · pith_short_8: XSFKKFB5

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/XSFKKFB5FQMPESRIZTVQWPZ3CG \
  | 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: bc8aa5143d2c18f24a28cceb0b3f3b119413278d41862a64096e68f377d21f58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03a7899069dfa4243dfc7267ba281ec891f318b5039043c8ad24b90655e96054",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-09-18T07:48:17Z",
    "title_canon_sha256": "be23f984a6cc152eb8686cef5c112715e3a017ab6d38e3c217688fcbf83aa06f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4564",
    "kind": "arxiv",
    "version": 2
  }
}