pith. sign in
Pith Number

pith:TYITXYSP

pith:2013:TYITXYSP7RX6YET2DBM3TS7XZN
not attested not anchored not stored refs pending

Direct and inverse scattering at fixed energy for massless charged Dirac fields by Kerr-Newman-de Sitter black holes

Fran\c{c}ois Nicoleau, Thierry Daude

arxiv:1307.2842 v1 · 2013-07-10 · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{TYITXYSP7RX6YET2DBM3TS7XZN}

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 2026-05-18T03:18:50.277610Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9e113be24ffc6fec127a1859b9cbf7cb57b082149972d0f90335d50322a4281d

Aliases

arxiv: 1307.2842 · arxiv_version: 1307.2842v1 · doi: 10.48550/arxiv.1307.2842 · pith_short_12: TYITXYSP7RX6 · pith_short_16: TYITXYSP7RX6YET2 · pith_short_8: TYITXYSP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/TYITXYSP7RX6YET2DBM3TS7XZN \
  | 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: 9e113be24ffc6fec127a1859b9cbf7cb57b082149972d0f90335d50322a4281d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "957748009c171820f5e327c0c30c0fb1d82a8508f5c508decccf8dbf658300e8",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-07-10T16:21:38Z",
    "title_canon_sha256": "ccba35ebfd96ca22d6bd173ec5b479b703ea56c905eeace7a3db3d6d9d2bbca2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2842",
    "kind": "arxiv",
    "version": 1
  }
}