Pith Number

pith:APCFMR3Z

pith:2018:APCFMR3ZP22VXEPHTIBO3KPNPG

not attested not anchored not stored refs pending

Asymptotics of Integrals of Some Functions Related to the Degenerate Third Painlev\'e Equation

A. Vartanian, A. V. Kitaev

arxiv:1811.05276 v1 · 2018-11-13 · 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{APCFMR3ZP22VXEPHTIBO3KPNPG}

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	2026-05-18T00:00:46.460858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03c45647797eb55b91e79a02eda9ed7996cd2fcbb9560c04fb424b371155570b

Aliases

arxiv: 1811.05276 · arxiv_version: 1811.05276v1 · doi: 10.48550/arxiv.1811.05276 · pith_short_12: APCFMR3ZP22V · pith_short_16: APCFMR3ZP22VXEPH · pith_short_8: APCFMR3Z

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/APCFMR3ZP22VXEPHTIBO3KPNPG \
  | 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: 03c45647797eb55b91e79a02eda9ed7996cd2fcbb9560c04fb424b371155570b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59ccd825ab5e78a7f4a4d965eeac5b40157cf52afcd837fc209af8653bea6a0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-11-13T13:21:55Z",
    "title_canon_sha256": "08e5a702977d3340608e5edbedc9182e61744d820863d9c6ec691ac359b46e19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.05276",
    "kind": "arxiv",
    "version": 1
  }
}