Pith Number

pith:ILGHGXK7

pith:2025:ILGHGXK77D2MPY466JHBPFEBZ7

not attested not anchored not stored refs pending

Strichartz estimates for the half Klein-Gordon equation on asymptotically flat backgrounds and applications to cubic Dirac equations

Sebastian Herr, Seokchang Hong

arxiv:2502.13670 v3 · 2025-02-19 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ILGHGXK77D2MPY466JHBPFEBZ7}

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	2026-07-15T01:20:44.944582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42cc735d5ff8f4c7e39ef24e179481cfe7cb6031b825cb5eadc5470e34b37b9e

Aliases

arxiv: 2502.13670 · arxiv_version: 2502.13670v3 · doi: 10.48550/arxiv.2502.13670 · pith_short_12: ILGHGXK77D2M · pith_short_16: ILGHGXK77D2MPY46 · pith_short_8: ILGHGXK7

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/ILGHGXK77D2MPY466JHBPFEBZ7 \
  | 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: 42cc735d5ff8f4c7e39ef24e179481cfe7cb6031b825cb5eadc5470e34b37b9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e725264cee649f3b3c2cfb0d702d995b54d0576811707d9419ed177e0371dd73",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-02-19T12:28:42Z",
    "title_canon_sha256": "bbad3d99ce2d50f924ac67ec45935908e6e079c546afe167067f75b99c8bfdb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.13670",
    "kind": "arxiv",
    "version": 3
  }
}