Pith Number

pith:DJE5NVLY

pith:2016:DJE5NVLYT5EB2BNFGHVAEO55UX

not attested not anchored not stored refs pending

Gravitational collapse in f(R) gravity for a spherically symmetric spacetime admitting a homothetic Killing vector

Narayan Banerjee, Soumya Chakrabarti

arxiv:1607.08034 v1 · 2016-07-27 · 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{DJE5NVLYT5EB2BNFGHVAEO55UX}

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	2026-05-18T01:10:22.643443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a49d6d5789f481d05a531ea023bbda5da1b2fba1d57ba5bb00c4ccc9c7e27ea

Aliases

arxiv: 1607.08034 · arxiv_version: 1607.08034v1 · doi: 10.48550/arxiv.1607.08034 · pith_short_12: DJE5NVLYT5EB · pith_short_16: DJE5NVLYT5EB2BNF · pith_short_8: DJE5NVLY

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/DJE5NVLYT5EB2BNFGHVAEO55UX \
  | 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: 1a49d6d5789f481d05a531ea023bbda5da1b2fba1d57ba5bb00c4ccc9c7e27ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4383db5cf8d6bcfe908e3633e5cd952f398c35306ed3e108296260d3d1293fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-07-27T11:04:56Z",
    "title_canon_sha256": "038cef91f31e7d7d0953bbdcb8b11f58dafe75eaa18dc143690385d7ac04c8df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08034",
    "kind": "arxiv",
    "version": 1
  }
}