Pith Number

pith:BZSNUYMB

pith:2016:BZSNUYMBGEHHYQH3CCG3DUMBCD

not attested not anchored not stored refs pending

On mechanical waves and Doppler shifts from moving boundaries

C. I. Christov, Ivan C. Christov

arxiv:1612.09269 v2 · 2016-12-29 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BZSNUYMBGEHHYQH3CCG3DUMBCD}

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	2026-05-18T00:40:13.475499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e64da6181310e7c40fb108db1d18110f51646634588548f7f5252ec9980a30f

Aliases

arxiv: 1612.09269 · arxiv_version: 1612.09269v2 · doi: 10.48550/arxiv.1612.09269 · pith_short_12: BZSNUYMBGEHH · pith_short_16: BZSNUYMBGEHHYQH3 · pith_short_8: BZSNUYMB

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/BZSNUYMBGEHHYQH3CCG3DUMBCD \
  | 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: 0e64da6181310e7c40fb108db1d18110f51646634588548f7f5252ec9980a30f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e9a7ced85eeb71558586fcb55539721bc71ecf74d03867bb830eb0f8a5727de",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-29T19:53:42Z",
    "title_canon_sha256": "77cee59a2208fe652e5dd4d7ccca9f4019066aec091693203bc343cbaf8f0c08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09269",
    "kind": "arxiv",
    "version": 2
  }
}