Pith Number

pith:IZTDHAPR

pith:2016:IZTDHAPRVSDHT335Z5HRE33N2L

not attested not anchored not stored refs pending

Computation of the coefficients appearing in the uniform asymptotic expansions of integrals

Adri B. Olde Daalhuis, Sarah Farid Khwaja

arxiv:1610.04472 v2 · 2016-10-14 · 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{IZTDHAPRVSDHT335Z5HRE33N2L}

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	2026-05-18T00:49:04.342440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46663381f1ac8679ef7dcf4f126f6dd2f40beb26c9b6749ad1ec424f4714c565

Aliases

arxiv: 1610.04472 · arxiv_version: 1610.04472v2 · doi: 10.48550/arxiv.1610.04472 · pith_short_12: IZTDHAPRVSDH · pith_short_16: IZTDHAPRVSDHT335 · pith_short_8: IZTDHAPR

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/IZTDHAPRVSDHT335Z5HRE33N2L \
  | 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: 46663381f1ac8679ef7dcf4f126f6dd2f40beb26c9b6749ad1ec424f4714c565

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd71a1e5eae489e64ce2e44ae06d599627a13f059445e6c113fb3a5795994ba6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-10-14T14:15:05Z",
    "title_canon_sha256": "1e27bfe5070bc46da820011c48d220a14d03651d105159b2f164f3056af5c986"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04472",
    "kind": "arxiv",
    "version": 2
  }
}