Pith Number

pith:ZGDKSN45

pith:2010:ZGDKSN45MDPJZCLO5MZDWXC3R6

not attested not anchored not stored refs pending

Interlacing of positive real zeros of Bessel functions

Barnabas Apagyi, Tamas Palmai

arxiv:1002.0976 v3 · 2010-02-04 · 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{ZGDKSN45MDPJZCLO5MZDWXC3R6}

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	2026-05-18T04:34:38.164673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c986a9379d60de9c896eeb323b5c5b8fa26c8d3467ee1e1c74d9c4e6df9b9e76

Aliases

arxiv: 1002.0976 · arxiv_version: 1002.0976v3 · doi: 10.48550/arxiv.1002.0976 · pith_short_12: ZGDKSN45MDPJ · pith_short_16: ZGDKSN45MDPJZCLO · pith_short_8: ZGDKSN45

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/ZGDKSN45MDPJZCLO5MZDWXC3R6 \
  | 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: c986a9379d60de9c896eeb323b5c5b8fa26c8d3467ee1e1c74d9c4e6df9b9e76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f144c0426a1fea8e0d9d2faf02cac2b0337996eccac62bb1fcf5d1c56363de9c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-02-04T12:16:29Z",
    "title_canon_sha256": "e3d255edc9b454fbb68442a5e55a20bf2803ded2b4719b28eb13a02b956ef917"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.0976",
    "kind": "arxiv",
    "version": 3
  }
}