pith. sign in
Pith Number

pith:FV4SOJXT

pith:2009:FV4SOJXTPHXPJQSIWTNDBDLF2D
not attested not anchored not stored refs pending

Numerical Evaluation Of the Oscillatory Integral over exp(i*pi*x)*x^(1/x) between 1 and infinity

Richard J. Mathar

arxiv:0912.3844 v3 · 2009-12-18 · 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{FV4SOJXTPHXPJQSIWTNDBDLF2D}

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 2026-05-18T04:42:35.302737Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2d792726f379eef4c248b4da308d65d0c77634ff0e9ffc52fb333b9bf27ad94c

Aliases

arxiv: 0912.3844 · arxiv_version: 0912.3844v3 · doi: 10.48550/arxiv.0912.3844 · pith_short_12: FV4SOJXTPHXP · pith_short_16: FV4SOJXTPHXPJQSI · pith_short_8: FV4SOJXT
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/FV4SOJXTPHXPJQSIWTNDBDLF2D \
  | 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: 2d792726f379eef4c248b4da308d65d0c77634ff0e9ffc52fb333b9bf27ad94c
Canonical record JSON 
{
  "metadata": {
    "abstract_canon_sha256": "3af54cb95143aae793e0d2327c8c6cbb36f9478b7993ef75ff9d26eab3db0bfd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-12-18T23:57:59Z",
    "title_canon_sha256": "8bd7e288f7802c09ba40c80b585b141d7619ab2d3593215aa6c48fdb5d689a09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.3844",
    "kind": "arxiv",
    "version": 3
  }
}