Pith Number

pith:WFFGO3T5

pith:2018:WFFGO3T5TKR7E4JPSA75NZJEY4

not attested not anchored not stored refs pending

Accurate estimates of (1+x)^{1/x} Involved in Carleman Inequality and Keller Limit

Branko Malesevic, Cristinel Mortici, Yue Hu

arxiv:1801.04963 v5 · 2018-01-15 · 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{WFFGO3T5TKR7E4JPSA75NZJEY4}

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	2026-07-05T00:11:29.869223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b14a676e7d9aa3f2712f903fd6e524c70e0b6ff65f63e41a4fb74b6c04fc8228

Aliases

arxiv: 1801.04963 · arxiv_version: 1801.04963v5 · doi: 10.48550/arxiv.1801.04963 · pith_short_12: WFFGO3T5TKR7 · pith_short_16: WFFGO3T5TKR7E4JP · pith_short_8: WFFGO3T5

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/WFFGO3T5TKR7E4JPSA75NZJEY4 \
  | 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: b14a676e7d9aa3f2712f903fd6e524c70e0b6ff65f63e41a4fb74b6c04fc8228

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8299c23a81bbe9eaba9922df34a6755ea1eb39cf4443286cf2399e48be78bcd4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-01-15T19:51:00Z",
    "title_canon_sha256": "f7799a090c25cb3474edad26055ecbe5061888cc68caaf716415e502675bf137"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.04963",
    "kind": "arxiv",
    "version": 5
  }
}