Pith Number

pith:XMTXA46E

pith:2017:XMTXA46EWS2LL2OF6SDMMI37SB

not attested not anchored not stored refs pending

Inequalities for integrals of modified Bessel functions and expressions involving them

Robert E. Gaunt

arxiv:1708.06205 v2 · 2017-08-21 · math.CA

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XMTXA46EWS2LL2OF6SDMMI37SB}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:24:04.188696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb277073c4b4b4b5e9c5f486c6237f904badb4febb2020da3b6305fc8e6fd647

Aliases

arxiv: 1708.06205 · arxiv_version: 1708.06205v2 · doi: 10.48550/arxiv.1708.06205 · pith_short_12: XMTXA46EWS2L · pith_short_16: XMTXA46EWS2LL2OF · pith_short_8: XMTXA46E

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/XMTXA46EWS2LL2OF6SDMMI37SB \
  | 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: bb277073c4b4b4b5e9c5f486c6237f904badb4febb2020da3b6305fc8e6fd647

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "230f1c9d2cd3d175b01b4e9f692cbea9bdda70807432b9b7f6776fa538e261f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-08-21T13:27:11Z",
    "title_canon_sha256": "a24408d545f8e245d546c1aeb10d2e3b46a75c8a442282efa80e7d96e807e091"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.06205",
    "kind": "arxiv",
    "version": 2
  }
}