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Pith Number

pith:V55I64PS

pith:2012:V55I64PSAXG6WYL42DIBN5VSWS
not attested not anchored not stored refs pending

Schwarzschild black hole surrounded by quintessence: Null geodesics

Sharmanthie Fernando

arxiv:1202.1502 v4 · 2012-02-07 · gr-qc · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{V55I64PSAXG6WYL42DIBN5VSWS}

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.

Cited by

2 papers in Pith

Receipt and verification
First computed 2026-05-18T01:58:32.780640Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

af7a8f71f205cdeb617cd0d016f6b2b4a230ef8f0c6e58e6fbb71f461d26b4e8

Aliases

arxiv: 1202.1502 · arxiv_version: 1202.1502v4 · doi: 10.48550/arxiv.1202.1502 · pith_short_12: V55I64PSAXG6 · pith_short_16: V55I64PSAXG6WYL4 · pith_short_8: V55I64PS
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/V55I64PSAXG6WYL42DIBN5VSWS \
  | 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: af7a8f71f205cdeb617cd0d016f6b2b4a230ef8f0c6e58e6fbb71f461d26b4e8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9c795afca1088f083f582a78716fe8339f37efbf33c35f01f61b40d6c864a870",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-02-07T19:23:53Z",
    "title_canon_sha256": "818e224814907f0de0840a2910046cb912faf9a77f24a18c8d8618276284d9e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1502",
    "kind": "arxiv",
    "version": 4
  }
}