Pith Number

pith:JRMWN4EA

pith:2011:JRMWN4EAB4OILB5ESA6RA7VMRH

not attested not anchored not stored refs pending

The geometry of sound rays in a wind

C. M. Warnick, G. W. Gibbons

arxiv:1102.2409 v1 · 2011-02-11 · gr-qc · math-ph · math.MP · physics.ao-ph · physics.ed-ph · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JRMWN4EAB4OILB5ESA6RA7VMRH}

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	2026-05-18T04:22:41.205303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c5966f0800f1c8587a4903d107eac89e33f642c162b44b837728e68b820eebf

Aliases

arxiv: 1102.2409 · arxiv_version: 1102.2409v1 · doi: 10.48550/arxiv.1102.2409 · pith_short_12: JRMWN4EAB4OI · pith_short_16: JRMWN4EAB4OILB5E · pith_short_8: JRMWN4EA

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/JRMWN4EAB4OILB5ESA6RA7VMRH \
  | 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: 4c5966f0800f1c8587a4903d107eac89e33f642c162b44b837728e68b820eebf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60ce323eb3b00567875e5b8c2ed72486f136f88b4bf3b7a2abebfb3bfc742861",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.ao-ph",
      "physics.ed-ph",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-02-11T18:25:41Z",
    "title_canon_sha256": "614314ecc6d0c40576103570f636d1f8828f420d762a2054ca1a1a39b53d7524"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2409",
    "kind": "arxiv",
    "version": 1
  }
}