Pith Number

pith:O2QCNTGN

pith:2015:O2QCNTGNQEK3FHVWI7WD7IRHYE

not attested not anchored not stored refs pending

A proof of two conjectures of Chao-Ping Chen for inverse trigonometric functions

Bojan Banjac, Branko Malesevic, Ivana Jovovic

arxiv:1508.06947 v6 · 2015-08-27 · 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{O2QCNTGNQEK3FHVWI7WD7IRHYE}

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	2026-07-05T00:11:28.660468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76a026cccd8115b29eb647ec3fa227c10008c5fbe8c90df223293f62bacebc81

Aliases

arxiv: 1508.06947 · arxiv_version: 1508.06947v6 · doi: 10.48550/arxiv.1508.06947 · pith_short_12: O2QCNTGNQEK3 · pith_short_16: O2QCNTGNQEK3FHVW · pith_short_8: O2QCNTGN

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/O2QCNTGNQEK3FHVWI7WD7IRHYE \
  | 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: 76a026cccd8115b29eb647ec3fa227c10008c5fbe8c90df223293f62bacebc81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8c41e798a2aef284ea4d29248753077b1148cd630819b526f6b74a7a45cac14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-08-27T17:27:13Z",
    "title_canon_sha256": "6683af2044ce63afb48498912c2ee7064c417f571f8419dcd81c7b3796bfee44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06947",
    "kind": "arxiv",
    "version": 6
  }
}