pith. sign in
Pith Number

pith:SDIDARYH

pith:2016:SDIDARYHPYC3SHPYWILSZB5HQV
not attested not anchored not stored refs pending

Fast alternating bi-directional preconditioner for the 2D high-frequency Lippmann-Schwinger equation

Hongkai Zhao, Leonardo Zepeda-N\'u\~nez

arxiv:1602.07652 v2 · 2016-02-24 · math.NA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{SDIDARYHPYC3SHPYWILSZB5HQV}

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 2026-05-18T01:11:24.971345Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

90d03047077e05b91df8b2172c87a785601ba17fcb6796791bc8c74da9ddb58b

Aliases

arxiv: 1602.07652 · arxiv_version: 1602.07652v2 · doi: 10.48550/arxiv.1602.07652 · pith_short_12: SDIDARYHPYC3 · pith_short_16: SDIDARYHPYC3SHPY · pith_short_8: SDIDARYH
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/SDIDARYHPYC3SHPYWILSZB5HQV \
  | 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: 90d03047077e05b91df8b2172c87a785601ba17fcb6796791bc8c74da9ddb58b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3bb4391899df8f488af363a9df8e0a9a55901077ef9014fa652695a151f45cce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-02-24T20:06:08Z",
    "title_canon_sha256": "ff5dbac230c4c96c3b7b2e32f64114115a89a57689229cebe9244559ebfc4974"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07652",
    "kind": "arxiv",
    "version": 2
  }
}