Pith Number

pith:FRQNU7RV

pith:2016:FRQNU7RVI25YIHMMEDMS5JZOGR

not attested not anchored not stored refs pending

Exact classical Doppler effect derived from the photon emission process

Chun-Ming Tsai, Chyi-Lung Lin, Jun-Jia Pan, Shang-Lin Hsieh

arxiv:1609.06569 v1 · 2016-08-29 · physics.gen-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{FRQNU7RVI25YIHMMEDMS5JZOGR}

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	2026-05-18T01:04:07.899262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c60da7e3546bb841d8c20d92ea72e347a720cb0292f1ba3c5641b3c2f4f03c9

Aliases

arxiv: 1609.06569 · arxiv_version: 1609.06569v1 · doi: 10.48550/arxiv.1609.06569 · pith_short_12: FRQNU7RVI25Y · pith_short_16: FRQNU7RVI25YIHMM · pith_short_8: FRQNU7RV

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/FRQNU7RVI25YIHMMEDMS5JZOGR \
  | 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: 2c60da7e3546bb841d8c20d92ea72e347a720cb0292f1ba3c5641b3c2f4f03c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42dd10be44f77e3e334d01f08120f7629909fec112ba4f34b647a598917fad92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2016-08-29T07:42:52Z",
    "title_canon_sha256": "e2dd50ba61723ef2ca297b2baee2387e7c9862d8de819bcc819f54f84c331344"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06569",
    "kind": "arxiv",
    "version": 1
  }
}