Pith. sign in
Pith Number

pith:7CXPCXNF

pith:2004:7CXPCXNFJ3H3545AWZSFBFMEAD
not attested not anchored not stored refs pending

Acoustic causality in relativistic shells

Keitaro Takahashi, Shunichiro Kinoshita, Yuuiti Sendouda

arxiv:astro-ph/0405149 v2 · 2004-05-07 · astro-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7CXPCXNFJ3H3545AWZSFBFMEAD}

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 2026-07-04T16:43:43.457103Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f8aef15da54ecfbef3a0b66450958400c79bcb737edada9bb736b697cc28994b

Aliases

arxiv: astro-ph/0405149 · arxiv_version: astro-ph/0405149v2 · doi: 10.48550/arxiv.astro-ph/0405149 · pith_short_12: 7CXPCXNFJ3H3 · pith_short_16: 7CXPCXNFJ3H3545A · pith_short_8: 7CXPCXNF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7CXPCXNFJ3H3545AWZSFBFMEAD \
  | 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: f8aef15da54ecfbef3a0b66450958400c79bcb737edada9bb736b697cc28994b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "33df0d56d7ece5a6b756df9058f0691d3d229c8cc70e19bd556392f76c13bb56",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2004-05-07T14:30:59Z",
    "title_canon_sha256": "9185f822f6ee61d4aee3d949a4ecee028a5f6b48b63c0e90f92ae9c1f1bdd33a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0405149",
    "kind": "arxiv",
    "version": 2
  }
}