Pith Number

pith:JUU37IQD

pith:2022:JUU37IQDRIACUJRLALOVYP7D5Y

not attested not anchored not stored refs pending

Time reflection and refraction in synthetic frequency dimension

Avik Dutt, Kai Wang, Olivia Y. Long, Shanhui Fan

arxiv:2209.03539 v2 · 2022-09-08 · physics.optics · physics.app-ph · 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{JUU37IQDRIACUJRLALOVYP7D5Y}

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	2026-07-05T05:54:12.817656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d29bfa2038a002a262b02dd5c3fe3ee262f4e4cd8bd98c2c61d1571e1052b45

Aliases

arxiv: 2209.03539 · arxiv_version: 2209.03539v2 · doi: 10.48550/arxiv.2209.03539 · pith_short_12: JUU37IQDRIAC · pith_short_16: JUU37IQDRIACUJRL · pith_short_8: JUU37IQD

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/JUU37IQDRIACUJRLALOVYP7D5Y \
  | 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: 4d29bfa2038a002a262b02dd5c3fe3ee262f4e4cd8bd98c2c61d1571e1052b45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cf2845b844e6ea30a69deac5c7881b8e30a6843ee4c4f408ea16daac71a904f",
    "cross_cats_sorted": [
      "physics.app-ph",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2022-09-08T02:37:41Z",
    "title_canon_sha256": "0ec4dfe4ebcf894013499e122e84d52d9e6c0ffd5f0c6b2b68f1742f593678bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.03539",
    "kind": "arxiv",
    "version": 2
  }
}