pith. sign in
Pith Number

pith:AXPUQXZY

pith:2012:AXPUQXZYTQ3OKAWO6R7CMULZBY
not attested not anchored not stored refs pending

Thin waveguides with Robin boundary conditions

Guy Bouchitt\'e, Luisa Mascarenhas, Luis Trabucho

arxiv:1207.4492 v1 · 2012-07-18 · math-ph · math.AP · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{AXPUQXZYTQ3OKAWO6R7CMULZBY}

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 2026-05-18T01:56:16.593689Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

05df485f389c36e502cef47e2651790e3b9b52be83dbffa9515eee087a8552b6

Aliases

arxiv: 1207.4492 · arxiv_version: 1207.4492v1 · doi: 10.48550/arxiv.1207.4492 · pith_short_12: AXPUQXZYTQ3O · pith_short_16: AXPUQXZYTQ3OKAWO · pith_short_8: AXPUQXZY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/AXPUQXZYTQ3OKAWO6R7CMULZBY \
  | 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: 05df485f389c36e502cef47e2651790e3b9b52be83dbffa9515eee087a8552b6
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6e43c0f622f20ddcb53c3acf67b924603a364243e3d873aff0ea01fcaea8e27f",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-07-18T20:14:42Z",
    "title_canon_sha256": "5bee40e3ba18001fb2ab50e8f00aff15f060167c849b1b2fd1b5094b01727b44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4492",
    "kind": "arxiv",
    "version": 1
  }
}