Pith Number

pith:ZV7U6VZV

pith:2018:ZV7U6VZVTGF6LT3GKLYKRUZ7RD

not attested not anchored not stored refs pending

Geometric Properties of Bessel function derivatives

Erhan Deniz, Murat \c{C}a\u{g}lar, Sercan Topkaya

arxiv:1802.05462 v2 · 2018-02-15 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZV7U6VZVTGF6LT3GKLYKRUZ7RD}

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	2026-05-18T00:19:08.335633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd7f4f5735998be5cf6652f0a8d33f88ee2d73c802ba3d55a07ba613e5b802c6

Aliases

arxiv: 1802.05462 · arxiv_version: 1802.05462v2 · doi: 10.48550/arxiv.1802.05462 · pith_short_12: ZV7U6VZVTGF6 · pith_short_16: ZV7U6VZVTGF6LT3G · pith_short_8: ZV7U6VZV

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/ZV7U6VZVTGF6LT3GKLYKRUZ7RD \
  | 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: cd7f4f5735998be5cf6652f0a8d33f88ee2d73c802ba3d55a07ba613e5b802c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19708d5294945a0e300321589331dd6a397713279fddb94529c7c259b32892b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-02-15T10:18:54Z",
    "title_canon_sha256": "8a2af159a670b11f95c8e13d3d0fc65acb95b063d6c37ee6a1993f4b12052bb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.05462",
    "kind": "arxiv",
    "version": 2
  }
}