Pith Number

pith:JWHRH5Y7

pith:2012:JWHRH5Y7GDXTG7UKUJJHQYYJO5

not attested not anchored not stored refs pending

Absence of Zeros and Asymptotic Error Estimates for Airy and Parabolic Cylinder Functions

Felix Finster, Joel Smoller

arxiv:1207.6861 v3 · 2012-07-30 · math.CA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JWHRH5Y7GDXTG7UKUJJHQYYJO5}

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	2026-05-18T03:13:56.275825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d8f13f71f30ef337e8aa252786309777dd9e769503b5da54d0ae5ff1c273737

Aliases

arxiv: 1207.6861 · arxiv_version: 1207.6861v3 · doi: 10.48550/arxiv.1207.6861 · pith_short_12: JWHRH5Y7GDXT · pith_short_16: JWHRH5Y7GDXTG7UK · pith_short_8: JWHRH5Y7

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/JWHRH5Y7GDXTG7UKUJJHQYYJO5 \
  | 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: 4d8f13f71f30ef337e8aa252786309777dd9e769503b5da54d0ae5ff1c273737

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4ffc7a2bc361b4fd5b07c6bff71037d4f9f09fb5ba57a10ce183c37118a0411",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-07-30T08:10:47Z",
    "title_canon_sha256": "f7465e6b4cdd450337da61df9a2d4d12fd19c25f5d52c6a50f334e3204cea147"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6861",
    "kind": "arxiv",
    "version": 3
  }
}