Pith Number

pith:WXCZFVBK

pith:2015:WXCZFVBK5U2BIUHPGB45CFN2ZF

not attested not anchored not stored refs pending

Quantum light propagation in longitudinally inhomogeneous media as a spatial Lewis-Ermakov physical invariance

David Barral, Jes\'us Li\~nares

arxiv:1506.08523 v1 · 2015-06-29 · quant-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{WXCZFVBK5U2BIUHPGB45CFN2ZF}

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	2026-05-18T01:28:54.433331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5c592d42aed341450ef3079d115bac94d62562931d14c142beef287cd8dd774

Aliases

arxiv: 1506.08523 · arxiv_version: 1506.08523v1 · doi: 10.48550/arxiv.1506.08523 · pith_short_12: WXCZFVBK5U2B · pith_short_16: WXCZFVBK5U2BIUHP · pith_short_8: WXCZFVBK

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/WXCZFVBK5U2BIUHPGB45CFN2ZF \
  | 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: b5c592d42aed341450ef3079d115bac94d62562931d14c142beef287cd8dd774

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "620aa82f97935986a682aa438e57c2be3af8b8db3cb67faaf122d0224aefbd70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-06-29T07:17:33Z",
    "title_canon_sha256": "c9d931ed76e65658eefa104b24184ded3736614b36a4630cb1490d4591fff119"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08523",
    "kind": "arxiv",
    "version": 1
  }
}