Pith Number

pith:VHRTYN4P

pith:2015:VHRTYN4P3LMXFOCJC7ORBRJT7E

not attested not anchored not stored refs pending

Inverse Doppler Effects in Flute

Chun R. Luo, Fang L. Shen, Lin L. Li, Shi L. Zhai, Song Liu, Xiao P. Zhao

arxiv:1510.02868 v1 · 2015-10-10 · physics.class-ph · physics.pop-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{VHRTYN4P3LMXFOCJC7ORBRJT7E}

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	2026-05-18T01:30:33.519014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9e33c378fdad972b84917dd10c533f910bba1e8d0689b200b564334e3c10039

Aliases

arxiv: 1510.02868 · arxiv_version: 1510.02868v1 · doi: 10.48550/arxiv.1510.02868 · pith_short_12: VHRTYN4P3LMX · pith_short_16: VHRTYN4P3LMXFOCJ · pith_short_8: VHRTYN4P

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/VHRTYN4P3LMXFOCJC7ORBRJT7E \
  | 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: a9e33c378fdad972b84917dd10c533f910bba1e8d0689b200b564334e3c10039

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "993e0973262fa6518a2e489b188359e76ce8b1a640d243458551e73a4ce77640",
    "cross_cats_sorted": [
      "physics.pop-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2015-10-10T03:07:15Z",
    "title_canon_sha256": "690d8ec8508af07d4f927dab662c04fc4d4369ccec6f99d9d942e3a5ff7bd1b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02868",
    "kind": "arxiv",
    "version": 1
  }
}