Pith Number

pith:LSIZ7RWM

pith:2015:LSIZ7RWMDRE7D2CJS6ORLT6QDW

not attested not anchored not stored refs pending

A new hybrid integral representation for frequency domain scattering in layered media

Jun Lai, Leslie Greengard, Michael O'Neil

arxiv:1507.03491 v2 · 2015-07-13 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LSIZ7RWMDRE7D2CJS6ORLT6QDW}

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	2026-05-18T01:36:27.188834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c919fc6cc1c49f1e849979d15cfd01db0b71584ce6e6defde82ec64690da2e2

Aliases

arxiv: 1507.03491 · arxiv_version: 1507.03491v2 · doi: 10.48550/arxiv.1507.03491 · pith_short_12: LSIZ7RWMDRE7 · pith_short_16: LSIZ7RWMDRE7D2CJ · pith_short_8: LSIZ7RWM

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/LSIZ7RWMDRE7D2CJS6ORLT6QDW \
  | 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: 5c919fc6cc1c49f1e849979d15cfd01db0b71584ce6e6defde82ec64690da2e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4706c92f02262512e272c203976dac604d0551ea9b42a9b772f5f06187e0e90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-07-13T15:23:04Z",
    "title_canon_sha256": "5f3e479b09bcd72445f4456f5939e2df797592f9c5130e21e9ecf7bc5877e7f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03491",
    "kind": "arxiv",
    "version": 2
  }
}