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Pith Number

pith:QYZ2VV36

pith:2015:QYZ2VV36TZBFZFSQ7M2UINM3SD
not attested not anchored not stored refs pending

Outgoing wave conditions in photonic crystals and transmission properties at interfaces

Agnes Lamacz, Ben Schweizer

arxiv:1509.00683 v2 · 2015-09-02 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{QYZ2VV36TZBFZFSQ7M2UINM3SD}

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 2026-05-18T00:53:12.563958Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8633aad77e9e425c9650fb3544359b90e1b4194e5ef6ffcdf509cb99457393b8

Aliases

arxiv: 1509.00683 · arxiv_version: 1509.00683v2 · doi: 10.48550/arxiv.1509.00683 · pith_short_12: QYZ2VV36TZBF · pith_short_16: QYZ2VV36TZBFZFSQ · pith_short_8: QYZ2VV36
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/QYZ2VV36TZBFZFSQ7M2UINM3SD \
  | 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: 8633aad77e9e425c9650fb3544359b90e1b4194e5ef6ffcdf509cb99457393b8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "927eb232928d81b82dab20c2d96cf92f3e3f1b13cbbe290ecfeb96ba29dab3ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-02T13:15:54Z",
    "title_canon_sha256": "d886e9d45c9ccfe233b14462c52a5e4fd6a1b0f2cfc621a0ac9c310f49fbcb29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00683",
    "kind": "arxiv",
    "version": 2
  }
}