Pith Number

pith:TAMZJW75

pith:2015:TAMZJW75MPKDUAHFSQ3Y4CPVAB

not attested not anchored not stored refs pending

Conformal Killing Vectors Of Plane Symmetric Four Dimensional Lorentzian Manifolds

Ashfaque H. Bokhari (2), Dhahran 31261, Gulzar Ali Khan (1) (1) Department of Mathematics, King Fahd University of Petroleum, Minerals, Pakistan. (2) Department of Mathematics, Peshawar Khyber Pakhtoonkhwa, Saudi Arabia, Suhail Khan (1), Tahir Hussain (1), University of Peshawar

arxiv:1510.06776 v1 · 2015-10-22 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TAMZJW75MPKDUAHFSQ3Y4CPVAB}

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	2026-05-18T01:29:23.110103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

981994dbfd63d43a00e594378e09f5006f2f43b6fc82e7499092bb4d9f06352d

Aliases

arxiv: 1510.06776 · arxiv_version: 1510.06776v1 · doi: 10.48550/arxiv.1510.06776 · pith_short_12: TAMZJW75MPKD · pith_short_16: TAMZJW75MPKDUAHF · pith_short_8: TAMZJW75

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/TAMZJW75MPKDUAHFSQ3Y4CPVAB \
  | 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: 981994dbfd63d43a00e594378e09f5006f2f43b6fc82e7499092bb4d9f06352d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7cd12502348da22b6dc0302cf06786b1553a5bea01096661d4f743ee72f8121",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-10-22T22:00:04Z",
    "title_canon_sha256": "09b32122b06e54bf8f5b99f6e53cc193573657b02fda205c35d9348ac83ba03d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06776",
    "kind": "arxiv",
    "version": 1
  }
}