Pith Number

pith:I4SJJBXF

pith:2009:I4SJJBXFCQ5TLO2AFJOSD7BCK6

not attested not anchored not stored refs pending

Sharpening and generalizations of Carlson's double inequality for the arc cosine function

Bai-Ni Guo, Feng Qi

arxiv:0902.3039 v1 · 2009-02-18 · 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{I4SJJBXFCQ5TLO2AFJOSD7BCK6}

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	2026-05-18T03:35:26.775257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47249486e5143b35bb402a5d21fc22578928a48c9c17a56e947f6758e9343c5f

Aliases

arxiv: 0902.3039 · arxiv_version: 0902.3039v1 · doi: 10.48550/arxiv.0902.3039 · pith_short_12: I4SJJBXFCQ5T · pith_short_16: I4SJJBXFCQ5TLO2A · pith_short_8: I4SJJBXF

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/I4SJJBXFCQ5TLO2AFJOSD7BCK6 \
  | 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: 47249486e5143b35bb402a5d21fc22578928a48c9c17a56e947f6758e9343c5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c4514a4b9202b73df4fbbbf7a21c4563f7ec9f06015faf4e24c2e96c5847568",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-02-18T03:15:44Z",
    "title_canon_sha256": "5884a60e8911d65a879181b5ac42443498eec0bef5986a591613df48ee66af0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.3039",
    "kind": "arxiv",
    "version": 1
  }
}