Pith Number

pith:CH2JGIFQ

pith:2024:CH2JGIFQFMXPFIV6R4MGASUKOI

not attested not anchored not stored refs pending

On a class of oscillatory integrals and their application to the time dependent Schr\"odinger equation

Jussi Behrndt, Peter Schlosser

arxiv:2407.09830 v1 · 2024-07-13 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CH2JGIFQFMXPFIV6R4MGASUKOI}

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	2026-07-05T08:43:35.274421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11f49320b02b2ef2a2be8f18604a8a722b7091c7272ce15c4e7a49a5217ff2cf

Aliases

arxiv: 2407.09830 · arxiv_version: 2407.09830v1 · doi: 10.48550/arxiv.2407.09830 · pith_short_12: CH2JGIFQFMXP · pith_short_16: CH2JGIFQFMXPFIV6 · pith_short_8: CH2JGIFQ

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/CH2JGIFQFMXPFIV6R4MGASUKOI \
  | 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: 11f49320b02b2ef2a2be8f18604a8a722b7091c7272ce15c4e7a49a5217ff2cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f9fef7f04fd01f6a3cc172d08e193fa156761b1a79f95e21e238f4b4b1e77f9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2024-07-13T09:47:25Z",
    "title_canon_sha256": "a42365bc0608404a8fdcede3ecec507217b702192bd0ae3514393f565029e9c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.09830",
    "kind": "arxiv",
    "version": 1
  }
}