Pith Number

pith:TQFOLIHD

pith:2009:TQFOLIHDCOGOKIN7WFQ4ZWTH3P

not attested not anchored not stored refs pending

Some bounds for the complete elliptic integrals of the first and second kinds

Bai-Ni Guo, Feng Qi

arxiv:0905.2787 v1 · 2009-05-18 · 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{TQFOLIHDCOGOKIN7WFQ4ZWTH3P}

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	2026-05-18T03:48:34.604219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c0ae5a0e3138ce521bfb161ccda67dbd710043a3bb9d0d9b834bee7ce0c861a

Aliases

arxiv: 0905.2787 · arxiv_version: 0905.2787v1 · doi: 10.48550/arxiv.0905.2787 · pith_short_12: TQFOLIHDCOGO · pith_short_16: TQFOLIHDCOGOKIN7 · pith_short_8: TQFOLIHD

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/TQFOLIHDCOGOKIN7WFQ4ZWTH3P \
  | 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: 9c0ae5a0e3138ce521bfb161ccda67dbd710043a3bb9d0d9b834bee7ce0c861a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f37231e80b41d7c599beb067a8fecc8a67cc747ee4285de779f660f88f35a218",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-05-18T01:52:26Z",
    "title_canon_sha256": "1c9ff78cf95024920f113832ed48e7daa200418936950fac88c70fb4c1022e11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.2787",
    "kind": "arxiv",
    "version": 1
  }
}