Pith Number

pith:M6T6SUE3

pith:2013:M6T6SUE3Z2L56AVVX33U6Q2737

not attested not anchored not stored refs pending

Einstein Static Universe in Exponential $f(T)$ Gravity

Chao-Qiang Geng, Chung-Chi Lee, Jung-Tsung Li

arxiv:1302.2688 v2 · 2013-02-12 · gr-qc · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M6T6SUE3Z2L56AVVX33U6Q2737}

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	2026-05-18T01:51:42.349411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67a7e9509bce97df02b5bef74f435fdfcde608fdf20993867b262bb41d115036

Aliases

arxiv: 1302.2688 · arxiv_version: 1302.2688v2 · doi: 10.48550/arxiv.1302.2688 · pith_short_12: M6T6SUE3Z2L5 · pith_short_16: M6T6SUE3Z2L56AVV · pith_short_8: M6T6SUE3

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/M6T6SUE3Z2L56AVVX33U6Q2737 \
  | 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: 67a7e9509bce97df02b5bef74f435fdfcde608fdf20993867b262bb41d115036

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c6e6d6c9ae63b8887bb556f0771def10785918ab0b960e803beaf26c289fc6f",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-02-12T02:52:01Z",
    "title_canon_sha256": "3888d440696450912a18d83c6e58bd903620e8444967d798de2177453fe42e95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2688",
    "kind": "arxiv",
    "version": 2
  }
}