Pith Number

pith:5VZ2G2OW

pith:2018:5VZ2G2OWRG4MQDL6YEMMHLQ3QU

not attested not anchored not stored refs pending

Multiple-location matched approximation for Bessel function $J_0$ and its derivatives

Usama Kadri

arxiv:1806.03697 v2 · 2018-06-10 · physics.flu-dyn · physics.app-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5VZ2G2OWRG4MQDL6YEMMHLQ3QU}

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	2026-05-18T00:06:39.507694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed73a369d689b8c80d7ec118c3ae1b850b77616b11de1406f572c2dac9eb6a1a

Aliases

arxiv: 1806.03697 · arxiv_version: 1806.03697v2 · doi: 10.48550/arxiv.1806.03697 · pith_short_12: 5VZ2G2OWRG4M · pith_short_16: 5VZ2G2OWRG4MQDL6 · pith_short_8: 5VZ2G2OW

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/5VZ2G2OWRG4MQDL6YEMMHLQ3QU \
  | 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: ed73a369d689b8c80d7ec118c3ae1b850b77616b11de1406f572c2dac9eb6a1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba067596f34ca9a364dcc90213d1ab0ecd5dce6403d9adb5a350ad84c54bd644",
    "cross_cats_sorted": [
      "physics.app-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2018-06-10T18:13:11Z",
    "title_canon_sha256": "f66bbd01dd618af56e3f566a0c42024e5252ff0ef14c76f555f542d0d402f0ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.03697",
    "kind": "arxiv",
    "version": 2
  }
}