Pith Number

pith:KXW75AJ6

pith:2013:KXW75AJ6K7VHGSTH72ESRE76AS

not attested not anchored not stored refs pending

Integral representations and properties of some functions involving the logarithmic function

Feng Qi, Wen-Hui Li

arxiv:1305.4083 v2 · 2013-05-17 · 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{KXW75AJ6K7VHGSTH72ESRE76AS}

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	2026-05-18T01:08:29.305699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55edfe813e57ea734a67fe892893fe04918a3095b52f1a9572fca20a70dc1d8e

Aliases

arxiv: 1305.4083 · arxiv_version: 1305.4083v2 · doi: 10.48550/arxiv.1305.4083 · pith_short_12: KXW75AJ6K7VH · pith_short_16: KXW75AJ6K7VHGSTH · pith_short_8: KXW75AJ6

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/KXW75AJ6K7VHGSTH72ESRE76AS \
  | 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: 55edfe813e57ea734a67fe892893fe04918a3095b52f1a9572fca20a70dc1d8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23089d36b7c7d6d05d26e6a24310574d3ab1ad4bfcca9e38780c4347df3cdad4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-05-17T13:58:49Z",
    "title_canon_sha256": "f8fcea7957427e79f9439556abd521089fff0b11fcded8f48b68307c3d476141"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4083",
    "kind": "arxiv",
    "version": 2
  }
}