pith. sign in
Pith Number

pith:G2XJ5GJL

pith:2016:G2XJ5GJLH6CODOKZ3WYGE37WDN
not attested not anchored not stored refs pending

Closed form expression for the Goos-Haenchen lateral displacement

Gabriel G. Maia, Manoel P. Araujo, Stefano De Leo

arxiv:1602.01247 v1 · 2016-02-03 · physics.optics

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?
Add to your LaTeX paper 
\usepackage{pith}
\pithnumber{G2XJ5GJLH6CODOKZ3WYGE37WDN}

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 2026-05-18T01:21:20.712713Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

36ae9e992b3f84e1b959ddb0626ff61b4974afa9446f32516ca340ad6b4221ed

Aliases

arxiv: 1602.01247 · arxiv_version: 1602.01247v1 · doi: 10.48550/arxiv.1602.01247 · pith_short_12: G2XJ5GJLH6CO · pith_short_16: G2XJ5GJLH6CODOKZ · pith_short_8: G2XJ5GJL
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/G2XJ5GJLH6CODOKZ3WYGE37WDN \
  | 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: 36ae9e992b3f84e1b959ddb0626ff61b4974afa9446f32516ca340ad6b4221ed
Canonical record JSON 
{
  "metadata": {
    "abstract_canon_sha256": "999330984438813d4593e2e172a94d3c6ac6da720eaf7429246e4af191f85616",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-02-03T10:15:25Z",
    "title_canon_sha256": "4c2b032936121016b8c897ea9539bf64f81cf17a9667c61a3676d01c5d9c1870"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01247",
    "kind": "arxiv",
    "version": 1
  }
}