pith. sign in
Pith Number

pith:ASESJSH5

pith:2013:ASESJSH5MOSIGW6IESHCCV6R3R
not attested not anchored not stored refs pending

Transformation devices: carpets in space and space-time

Martin W. McCall, Paul Kinsler

arxiv:1311.2287 v4 · 2013-11-10 · physics.optics

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ASESJSH5MOSIGW6IESHCCV6R3R}

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 2026-05-18T02:18:01.636701Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

048924c8fd63a4835bc8248e2157d1dc531ea0e7e7bbb3cae90cfe2d354c5952

Aliases

arxiv: 1311.2287 · arxiv_version: 1311.2287v4 · doi: 10.48550/arxiv.1311.2287 · pith_short_12: ASESJSH5MOSI · pith_short_16: ASESJSH5MOSIGW6I · pith_short_8: ASESJSH5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ASESJSH5MOSIGW6IESHCCV6R3R \
  | 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: 048924c8fd63a4835bc8248e2157d1dc531ea0e7e7bbb3cae90cfe2d354c5952
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1e74261aa167196d60dd98e902cb464b08da794ac1661da7e3c2336c63eecd67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2013-11-10T17:14:46Z",
    "title_canon_sha256": "0ed74b2c64d02f9539108b84237fe4d3fa34ca0d14263a9435417d02705524d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2287",
    "kind": "arxiv",
    "version": 4
  }
}