Pith Number

pith:ORI6DEIV

pith:2014:ORI6DEIVILRS5RFNAMDREDQV4T

not attested not anchored not stored refs pending

On the coefficients of an expansion of $(1+1/x)^x$ related to Carleman's inequality

Cristinel Mortici, Yue Hu

arxiv:1401.2236 v1 · 2014-01-10 · 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{ORI6DEIVILRS5RFNAMDREDQV4T}

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	2026-05-18T03:02:45.955727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7451e1911542e32ec4ad0307120e15e4e5e22b201c7c388bc9b9fb06687f5501

Aliases

arxiv: 1401.2236 · arxiv_version: 1401.2236v1 · doi: 10.48550/arxiv.1401.2236 · pith_short_12: ORI6DEIVILRS · pith_short_16: ORI6DEIVILRS5RFN · pith_short_8: ORI6DEIV

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/ORI6DEIVILRS5RFNAMDREDQV4T \
  | 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: 7451e1911542e32ec4ad0307120e15e4e5e22b201c7c388bc9b9fb06687f5501

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16243baed8b2ada1b30147f492cc1c037ccd6ec7785269da212a776256ec62e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-01-10T06:28:06Z",
    "title_canon_sha256": "579e21ce30e3072911ee352c77c1e2ac8ab11076a2078cf62d33bb4f37f5b4f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.2236",
    "kind": "arxiv",
    "version": 1
  }
}