pith. sign in
Pith Number

pith:JATTGDAZ

pith:2018:JATTGDAZSJFK7AHVWEU6QWA42F
not attested not anchored not stored refs pending

Wave asymptotics and their application to astrophysical plasma lensing

Gianfranco Grillo, James Cordes

arxiv:1810.09058 v2 · 2018-10-22 · astro-ph.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JATTGDAZSJFK7AHVWEU6QWA42F}

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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-05-18T00:02:08.804720Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4827330c19924aaf80f5b129e8581cd16159ead6d6b891a7f17052e2c7cc28ed

Aliases

arxiv: 1810.09058 · arxiv_version: 1810.09058v2 · doi: 10.48550/arxiv.1810.09058 · pith_short_12: JATTGDAZSJFK · pith_short_16: JATTGDAZSJFK7AHV · pith_short_8: JATTGDAZ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JATTGDAZSJFK7AHVWEU6QWA42F \
  | 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: 4827330c19924aaf80f5b129e8581cd16159ead6d6b891a7f17052e2c7cc28ed
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "402f1466f86f39249287c6482f05ef0fab5849c1cdace5faf3889e9f0273a28a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2018-10-22T02:04:05Z",
    "title_canon_sha256": "5b32766f60c8b72598cca2bea58df7f1c78d01e83f35b5664d6b4e1e7dcd6c92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.09058",
    "kind": "arxiv",
    "version": 2
  }
}