Pith Number

pith:3PQWMGON

pith:2012:3PQWMGON246C2LORPNRUVATEAW

not attested not anchored not stored refs pending

Reconstruction of $f(T)$ gravity: Rip cosmology, finite-time future singularities and thermodynamics

Kazuharu Bamba, Ratbay Myrzakulov, Sergei D. Odintsov, Shin'ichi Nojiri

arxiv:1202.4057 v3 · 2012-02-18 · 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{3PQWMGON246C2LORPNRUVATEAW}

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	2026-05-18T03:51:58.229524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbe16619cdd73c2d2dd17b634a82640590da1ee16be0f0a429e968d37884a8f4

Aliases

arxiv: 1202.4057 · arxiv_version: 1202.4057v3 · doi: 10.48550/arxiv.1202.4057 · pith_short_12: 3PQWMGON246C · pith_short_16: 3PQWMGON246C2LOR · pith_short_8: 3PQWMGON

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/3PQWMGON246C2LORPNRUVATEAW \
  | 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: dbe16619cdd73c2d2dd17b634a82640590da1ee16be0f0a429e968d37884a8f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b46d3086f393783a7061eb1c526b625af123bab46b892eea97d8a359da56ed51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-02-18T04:43:24Z",
    "title_canon_sha256": "85609e3cfb149366df5c3e501560ac8289aa842e27b7f2c9bf74a13cf6274890"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4057",
    "kind": "arxiv",
    "version": 3
  }
}