Pith Number

pith:PQOTGCIQ

pith:2016:PQOTGCIQ63ZFLAVWHFQOZPPXJG

not attested not anchored not stored refs pending

Cosmological Solutions of $f(T)$ Gravity

Andronikos Paliathanasis, John D. Barrow, P.G.L. Leach

arxiv:1606.00659 v2 · 2016-06-02 · 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{PQOTGCIQ63ZFLAVWHFQOZPPXJG}

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	2026-05-18T01:10:16.356705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c1d330910f6f25582b63960ecbdf7499bd23e3a201da1cfde5218f852f1d1cd

Aliases

arxiv: 1606.00659 · arxiv_version: 1606.00659v2 · doi: 10.48550/arxiv.1606.00659 · pith_short_12: PQOTGCIQ63ZF · pith_short_16: PQOTGCIQ63ZFLAVW · pith_short_8: PQOTGCIQ

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/PQOTGCIQ63ZFLAVWHFQOZPPXJG \
  | 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: 7c1d330910f6f25582b63960ecbdf7499bd23e3a201da1cfde5218f852f1d1cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c86dd4c656b3c3bdc89bcddb1d8ab6052fc4552a38ca7c0df410b1fba648998d",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-06-02T13:05:26Z",
    "title_canon_sha256": "d5da7fcdba5da99e52fcee66bc8ce07e213746d242c08a7baebe418ecb6cbf67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.00659",
    "kind": "arxiv",
    "version": 2
  }
}