Pith Number

pith:YA44W7X3

pith:2013:YA44W7X3IZEOYNAR7G6RHFKUPX

not attested not anchored not stored refs pending

Spherical collapse in f(R) gravity and the Belinskii-Khalatnikov-Lifshitz conjecture

Andrei V. Frolov, Daoyan Wang, Jun-Qi Guo

arxiv:1312.4625 v4 · 2013-12-17 · 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{YA44W7X3IZEOYNAR7G6RHFKUPX}

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	2026-05-18T02:47:44.589000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c039cb7efb4648ec3411f9bd1395547ddd8bbe0911b9b7b45944b2ebf7f4b308

Aliases

arxiv: 1312.4625 · arxiv_version: 1312.4625v4 · doi: 10.48550/arxiv.1312.4625 · pith_short_12: YA44W7X3IZEO · pith_short_16: YA44W7X3IZEOYNAR · pith_short_8: YA44W7X3

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/YA44W7X3IZEOYNAR7G6RHFKUPX \
  | 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: c039cb7efb4648ec3411f9bd1395547ddd8bbe0911b9b7b45944b2ebf7f4b308

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fca0e92abe9041d5b66ed2b26a1b53db64d4aee37743bf0c9ef79fda6dfa1311",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-12-17T03:32:55Z",
    "title_canon_sha256": "e180a58d02dc962bb5d22227eefdb29d805bd70440a2ee8bfce9832991af9272"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4625",
    "kind": "arxiv",
    "version": 4
  }
}