Pith Number

pith:52YGMTXI

pith:2019:52YGMTXIFXJM7M5UF6TGZKXFAI

not attested not anchored not stored refs pending

Lemniscate Convexity and Other Properties of Generalized Bessel Functions

Ajay Kumar, Vibha Madaan, V. Ravichandran

arxiv:1902.04277 v1 · 2019-02-12 · 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{52YGMTXIFXJM7M5UF6TGZKXFAI}

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	2026-05-17T23:54:12.677720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eeb0664ee82dd2cfb3b42fa66caae50218c86d552e474beac8a75415bc4c9c9b

Aliases

arxiv: 1902.04277 · arxiv_version: 1902.04277v1 · doi: 10.48550/arxiv.1902.04277 · pith_short_12: 52YGMTXIFXJM · pith_short_16: 52YGMTXIFXJM7M5U · pith_short_8: 52YGMTXI

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/52YGMTXIFXJM7M5UF6TGZKXFAI \
  | 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: eeb0664ee82dd2cfb3b42fa66caae50218c86d552e474beac8a75415bc4c9c9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3df76857b8b23d0b17fb4ec211122b4f72df9eecc1bdee78bc0bfa77360282e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2019-02-12T08:32:56Z",
    "title_canon_sha256": "ed4dfc2b15e33fe47d2d0d93eff79145ca3d42bf969f5cc46ccd86d87d0e43c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.04277",
    "kind": "arxiv",
    "version": 1
  }
}