Pith Number

pith:3XKCQIKO

pith:2017:3XKCQIKODNIP4FZYX7TFA3QLEX

not attested not anchored not stored refs pending

A note on the asymptotics of the modified Bessel functions on the Stokes lines

R B Paris

arxiv:1708.09656 v2 · 2017-08-31 · 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{3XKCQIKODNIP4FZYX7TFA3QLEX}

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	2026-05-18T00:36:08.137722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddd428214e1b50fe1738bfe6506e0b25d751cbb9e194be11e5b7dd0d34261c98

Aliases

arxiv: 1708.09656 · arxiv_version: 1708.09656v2 · doi: 10.48550/arxiv.1708.09656 · pith_short_12: 3XKCQIKODNIP · pith_short_16: 3XKCQIKODNIP4FZY · pith_short_8: 3XKCQIKO

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/3XKCQIKODNIP4FZYX7TFA3QLEX \
  | 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: ddd428214e1b50fe1738bfe6506e0b25d751cbb9e194be11e5b7dd0d34261c98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c4dbca8ecfb98fb517fae6d6b8a9f946a3503535142a259fd3a5fc6e2c877ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-08-31T10:36:31Z",
    "title_canon_sha256": "59377cee4df8055f9505fe430784769a25da06b9b621c6ea57cb87ead78749e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.09656",
    "kind": "arxiv",
    "version": 2
  }
}