Pith Number

pith:I2TLIPT3

pith:2017:I2TLIPT3K4X74FAPHT6ZG6ARWA

not attested not anchored not stored refs pending

Redheffer type bounds for Bessel and modified Bessel functions of the first kind

\'Arp\'ad Baricz, Khaled Mehrez

arxiv:1701.08446 v1 · 2017-01-29 · 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{I2TLIPT3K4X74FAPHT6ZG6ARWA}

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	2026-05-18T00:51:54.105304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46a6b43e7b572ffe140f3cfd937811b00cc2d0f2bae0c5a3f3ace860d0998573

Aliases

arxiv: 1701.08446 · arxiv_version: 1701.08446v1 · doi: 10.48550/arxiv.1701.08446 · pith_short_12: I2TLIPT3K4X7 · pith_short_16: I2TLIPT3K4X74FAP · pith_short_8: I2TLIPT3

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/I2TLIPT3K4X74FAPHT6ZG6ARWA \
  | 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: 46a6b43e7b572ffe140f3cfd937811b00cc2d0f2bae0c5a3f3ace860d0998573

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fca4837136e46c8fbf095a755d37c987422e285fca9add1fdab6aafbf085a3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-01-29T22:31:00Z",
    "title_canon_sha256": "2364296d3e4242488a5baccf4c47a50d7990a64edf6150cdbda186cf129288bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.08446",
    "kind": "arxiv",
    "version": 1
  }
}