Pith Number

pith:QP2KIQFX

pith:2001:QP2KIQFXX27AFA5B2JEBIHHRQF

not attested not anchored not stored refs pending

Symbolic Evaluation of Coefficients in Airy-type Asymptotic Expansions

Nico M. Temme, Raimundas Vidunas

arxiv:math/0103184 v1 · 2001-03-27 · 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{QP2KIQFXX27AFA5B2JEBIHHRQF}

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	2026-05-18T03:11:24.600372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83f4a440b7bebe0283a1d248141cf1814f811cce2da625620ad4719075f8e340

Aliases

arxiv: math/0103184 · arxiv_version: math/0103184v1 · doi: 10.48550/arxiv.math/0103184 · pith_short_12: QP2KIQFXX27A · pith_short_16: QP2KIQFXX27AFA5B · pith_short_8: QP2KIQFX

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/QP2KIQFXX27AFA5B2JEBIHHRQF \
  | 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: 83f4a440b7bebe0283a1d248141cf1814f811cce2da625620ad4719075f8e340

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41260e5185227447805edc522ece434e5f63ac3431e29c1d188a55039e73dd34",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2001-03-27T16:38:21Z",
    "title_canon_sha256": "ec84dba646e2866a853df745c8b831fae9344547ae83af895d6c29aa8a1e8712"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0103184",
    "kind": "arxiv",
    "version": 1
  }
}