pith. sign in
Pith Number

pith:UJQFJVD3

pith:2015:UJQFJVD3M77XUJFVXGJ373NXQR
not attested not anchored not stored refs pending

Wave equations on the linear mass Vaidya metric

Martin O'Loughlin, Saeede Nafooshe

arxiv:1510.06560 v1 · 2015-10-22 · gr-qc · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UJQFJVD3M77XUJFVXGJ373NXQR}

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 2026-05-18T01:07:17.303383Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a26054d47b67ff7a24b5b993bfedb784578f412d31b7c1b8eeed54ffb6aa4682

Aliases

arxiv: 1510.06560 · arxiv_version: 1510.06560v1 · doi: 10.48550/arxiv.1510.06560 · pith_short_12: UJQFJVD3M77X · pith_short_16: UJQFJVD3M77XUJFV · pith_short_8: UJQFJVD3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UJQFJVD3M77XUJFVXGJ373NXQR \
  | 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: a26054d47b67ff7a24b5b993bfedb784578f412d31b7c1b8eeed54ffb6aa4682
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "06ff596771bbd37368d19a367fa5f633c6f8240039209d7ecb5083ac33c45b69",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-10-22T09:51:02Z",
    "title_canon_sha256": "4c271868642030a2ae13a7884bc35c08c2a20f9261ade5f147fcf3a223653b7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06560",
    "kind": "arxiv",
    "version": 1
  }
}