Pith Number

pith:T2W4TQ26

pith:2014:T2W4TQ26VEXLHYGIRORSXEVJIH

not attested not anchored not stored refs pending

Lens optics and the continuity problems of the ABCD matrix

S. Baskal, Y. S. Kim

arxiv:1401.1205 v1 · 2014-01-06 · physics.optics · 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{T2W4TQ26VEXLHYGIRORSXEVJIH}

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	2026-05-18T01:45:33.532342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9eadc9c35ea92eb3e0c88ba32b92a941d5da545273a6d90a3f904ceb48a4eca4

Aliases

arxiv: 1401.1205 · arxiv_version: 1401.1205v1 · doi: 10.48550/arxiv.1401.1205 · pith_short_12: T2W4TQ26VEXL · pith_short_16: T2W4TQ26VEXLHYGI · pith_short_8: T2W4TQ26

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/T2W4TQ26VEXLHYGIRORSXEVJIH \
  | 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: 9eadc9c35ea92eb3e0c88ba32b92a941d5da545273a6d90a3f904ceb48a4eca4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42675afd2cb46401e91e663e8bcff2342f4b8af7a78dbd26cc24c1cab4873e02",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2014-01-06T14:52:10Z",
    "title_canon_sha256": "d1d661ddeedc87430c3ef4021a4deae5f88c3366f63ee8f250f7915cf7ea3fac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.1205",
    "kind": "arxiv",
    "version": 1
  }
}