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Pith Number

pith:VH5IBFKO

pith:2010:VH5IBFKOSCYEGNV37WMXKA2XND
not attested not anchored not stored refs pending

Cosmological Evolution Across Phantom Crossing and the Nature of the Horizon

Nairwita Mazumder, Ritabrata Biswas, Subenoy Chakraborty

arxiv:1006.0881 v1 · 2010-06-04 · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VH5IBFKOSCYEGNV37WMXKA2XND}

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 2026-05-18T04:20:22.289053Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a9fa80954e90b04336bbfd9975035768e81b66c81c190506bc65ef5999cb228d

Aliases

arxiv: 1006.0881 · arxiv_version: 1006.0881v1 · doi: 10.48550/arxiv.1006.0881 · pith_short_12: VH5IBFKOSCYE · pith_short_16: VH5IBFKOSCYEGNV3 · pith_short_8: VH5IBFKO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VH5IBFKOSCYEGNV37WMXKA2XND \
  | 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: a9fa80954e90b04336bbfd9975035768e81b66c81c190506bc65ef5999cb228d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "14a40f09a0fa63146a4ef07220592ae235954f66756a06805c06837d454f2ac9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-06-04T12:42:46Z",
    "title_canon_sha256": "84073baa726d25c428d71c938955b74b021b4972ccc21ecc58a17a69f99cd6f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0881",
    "kind": "arxiv",
    "version": 1
  }
}