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Pith Number

pith:SMQKFAEL

pith:2011:SMQKFAELEPLCIKFTGOUY34V6O5
not attested not anchored not stored refs pending

Gravitational collapse of K-essence Matter in Painlev\'{e}-Gullstrand coordinates

C. Danielle Leonard, Gabor Kunstatter, Jonathan Ziprick, Robert B. Mann

arxiv:1106.2054 v1 · 2011-06-10 · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{SMQKFAELEPLCIKFTGOUY34V6O5}

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

1 paper in Pith

Receipt and verification
First computed 2026-05-18T03:55:47.092436Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9320a2808b23d62428b333a98df2be77402b5bc930b88976baec3d15a7a38391

Aliases

arxiv: 1106.2054 · arxiv_version: 1106.2054v1 · doi: 10.48550/arxiv.1106.2054 · pith_short_12: SMQKFAELEPLC · pith_short_16: SMQKFAELEPLCIKFT · pith_short_8: SMQKFAEL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/SMQKFAELEPLCIKFTGOUY34V6O5 \
  | 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: 9320a2808b23d62428b333a98df2be77402b5bc930b88976baec3d15a7a38391
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e073a86ac756e50579d866bf28080e67e9ff12fa54b69b8d2a18a57d3ec517e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-06-10T13:46:24Z",
    "title_canon_sha256": "aa1327c1cb91e08be6a753a530553b9cec8fa02d2681b673aba4a5202ccae5b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2054",
    "kind": "arxiv",
    "version": 1
  }
}