Pith Number

pith:HVRKPXRK

pith:2022:HVRKPXRKTEXUU74RTUHYNGENPS

not attested not anchored not stored refs pending

Critical Angle at a Moving Interface Formed by a Space-Time Modulation Step

Christophe Caloz, Xikui Ma, Zhiyu Li

arxiv:2204.07998 v1 · 2022-03-30 · physics.class-ph · 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{HVRKPXRKTEXUU74RTUHYNGENPS}

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	2026-07-05T04:15:20.864927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d62a7de2a992f4a7f919d0f86988d7c93ebd9e19166df3206a4004db231ca11

Aliases

arxiv: 2204.07998 · arxiv_version: 2204.07998v1 · doi: 10.48550/arxiv.2204.07998 · pith_short_12: HVRKPXRKTEXU · pith_short_16: HVRKPXRKTEXUU74R · pith_short_8: HVRKPXRK

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/HVRKPXRKTEXUU74RTUHYNGENPS \
  | 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: 3d62a7de2a992f4a7f919d0f86988d7c93ebd9e19166df3206a4004db231ca11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9d79b8b3258d9253b99ad47ca5e01f5fdb274b71e92e4ed9d41cd301e7a7fbd",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2022-03-30T08:53:04Z",
    "title_canon_sha256": "76bbf2e38bda8ce5a32a614add2daed2e3d3c5cb9dee96565b93cf29a9e65086"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.07998",
    "kind": "arxiv",
    "version": 1
  }
}