Pith Number

pith:EUPEHX6M

pith:2012:EUPEHX6MQPLC6IZ3OCD6RCPNTM

not attested not anchored not stored refs pending

Classical optics representation of the quantum mechanical translation operator via ABCD matrices

Andrea Aiello, Marco Ornigotti

arxiv:1210.6536 v2 · 2012-10-24 · 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{EUPEHX6MQPLC6IZ3OCD6RCPNTM}

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	2026-05-18T01:53:43.745277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

251e43dfcc83d62f233b7087e889ed9b0f1a17b4c9c2795edbaaeb52726b490a

Aliases

arxiv: 1210.6536 · arxiv_version: 1210.6536v2 · doi: 10.48550/arxiv.1210.6536 · pith_short_12: EUPEHX6MQPLC · pith_short_16: EUPEHX6MQPLC6IZ3 · pith_short_8: EUPEHX6M

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/EUPEHX6MQPLC6IZ3OCD6RCPNTM \
  | 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: 251e43dfcc83d62f233b7087e889ed9b0f1a17b4c9c2795edbaaeb52726b490a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "514b9eae87854f39a4d3fdd0e720bffab54b633c3a616431a8e3bbf01ecef274",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2012-10-24T14:04:03Z",
    "title_canon_sha256": "dbb4635a2165fcd76bf59714aa42fbee948dd7859a334ad9c393e0128cf316a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6536",
    "kind": "arxiv",
    "version": 2
  }
}