Pith Number

pith:Y4DBCIOO

pith:2016:Y4DBCIOO4CZX4LOKZICJTFHDLP

not attested not anchored not stored refs pending

Numerical solution of many-body wave scattering problem and creating materials with a desired refraction coefficient

Nhan Tran

arxiv:1602.07034 v2 · 2016-02-15 · 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{Y4DBCIOO4CZX4LOKZICJTFHDLP}

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	2026-05-18T00:32:51.311011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7061121cee0b37e2dcaca049994e35bfb9764eae6536b8cd4295e717ebbbd05

Aliases

arxiv: 1602.07034 · arxiv_version: 1602.07034v2 · doi: 10.48550/arxiv.1602.07034 · pith_short_12: Y4DBCIOO4CZX · pith_short_16: Y4DBCIOO4CZX4LOK · pith_short_8: Y4DBCIOO

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/Y4DBCIOO4CZX4LOKZICJTFHDLP \
  | 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: c7061121cee0b37e2dcaca049994e35bfb9764eae6536b8cd4295e717ebbbd05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "990e18b1360b6f290cf73325f19992b43cd8fde75f5b6c25a8516f5a23ccd102",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-02-15T14:39:06Z",
    "title_canon_sha256": "1c1ecc4d8fe330c40d670d50a9745533901159815bd0d3934b4cd2932524433b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07034",
    "kind": "arxiv",
    "version": 2
  }
}