Pith Number

pith:URLZOF3D

pith:2012:URLZOF3DVQN4EUPLZZTYDFJ7RY

not attested not anchored not stored refs pending

G\"odel-type universes in f(T) gravity

Di Liu, Hongwei Yu, Puxun Wu

arxiv:1203.2016 v4 · 2012-03-09 · 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{URLZOF3DVQN4EUPLZZTYDFJ7RY}

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	2026-05-18T03:43:27.204486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a457971763ac1bc251ebce6781953f8e0f03e5097573a128dbebe35dc27e7876

Aliases

arxiv: 1203.2016 · arxiv_version: 1203.2016v4 · doi: 10.48550/arxiv.1203.2016 · pith_short_12: URLZOF3DVQN4 · pith_short_16: URLZOF3DVQN4EUPL · pith_short_8: URLZOF3D

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/URLZOF3DVQN4EUPLZZTYDFJ7RY \
  | 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: a457971763ac1bc251ebce6781953f8e0f03e5097573a128dbebe35dc27e7876

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc4481f41de58891cf73435e0d18a0376e0bda4b1ae404df6cf1b96f72a697e9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-03-09T08:38:59Z",
    "title_canon_sha256": "1b884fc400da731e588283d4222162f433d45797a21f95bf84a506997fffd2e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2016",
    "kind": "arxiv",
    "version": 4
  }
}