Pith Number

pith:YUBP77PM

pith:2024:YUBP77PMQR3GTGFRZMPVW32APU

not attested not anchored not stored refs pending

Uniform asymptotic expansions for the zeros of parabolic cylinder functions

A. Gil, D. Ruiz-Antolin, J. Segura, T. M. Dunster

arxiv:2407.13936 v3 · 2024-07-18 · 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{YUBP77PMQR3GTGFRZMPVW32APU}

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	2026-07-05T08:50:57.768909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c502fffdec84766998b1cb1f5b6f407d3e41e9a3f8b6ad01d7eb3bd0b5c1ca77

Aliases

arxiv: 2407.13936 · arxiv_version: 2407.13936v3 · doi: 10.48550/arxiv.2407.13936 · pith_short_12: YUBP77PMQR3G · pith_short_16: YUBP77PMQR3GTGFR · pith_short_8: YUBP77PM

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/YUBP77PMQR3GTGFRZMPVW32APU \
  | 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: c502fffdec84766998b1cb1f5b6f407d3e41e9a3f8b6ad01d7eb3bd0b5c1ca77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e9d7d62076de6a34e46ea56a8aa94f5c6283c13de9d1ece8064b763d4c292d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2024-07-18T23:29:32Z",
    "title_canon_sha256": "5123544a88605406ddb80cf35fa847cbb588a72821e76c86ecb7673cb5ccd323"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.13936",
    "kind": "arxiv",
    "version": 3
  }
}