Pith Number

pith:ESBGPZTV

pith:2016:ESBGPZTVPU6RTIAAY72ABL7FGU

not attested not anchored not stored refs pending

Extended optical theorem in isotropic solids and its application to the elastic radiation force

G. T. Silva, J. H. Lopes, J.P. Leao-Neto

arxiv:1612.08685 v1 · 2016-12-27 · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ESBGPZTVPU6RTIAAY72ABL7FGU}

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	2026-05-18T00:45:43.544225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

248267e6757d3d19a000c7f400afe5352c6d65fcc97c60d3cd1c619322478407

Aliases

arxiv: 1612.08685 · arxiv_version: 1612.08685v1 · doi: 10.48550/arxiv.1612.08685 · pith_short_12: ESBGPZTVPU6R · pith_short_16: ESBGPZTVPU6RTIAA · pith_short_8: ESBGPZTV

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/ESBGPZTVPU6RTIAAY72ABL7FGU \
  | 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: 248267e6757d3d19a000c7f400afe5352c6d65fcc97c60d3cd1c619322478407

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bfdea8c7d87a1251262a3859deca8770a8ffdc1fb543ce541c71e7ab6d20e29",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2016-12-27T17:15:44Z",
    "title_canon_sha256": "a57e507968ddacc2b5f1afa39fdce445e60d3e23922e3fb7c29a90307ff0cf37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08685",
    "kind": "arxiv",
    "version": 1
  }
}