pith. sign in
Pith Number

pith:XXF3KGYD

pith:2011:XXF3KGYDVO5DGJE5UON4OJFAEP
not attested not anchored not stored refs pending

Cosmic acceleration and phantom crossing in $f(T)$-gravity

A. Ravanpak, H.Farajollahi, P.Wu

arxiv:1112.4700 v1 · 2011-12-17 · physics.gen-ph · astro-ph.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XXF3KGYDVO5DGJE5UON4OJFAEP}

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 2026-05-18T01:59:04.667130Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

bdcbb51b03abba33249da39bc724a023f430fb1d6fcc96ba39060fe92b93676e

Aliases

arxiv: 1112.4700 · arxiv_version: 1112.4700v1 · doi: 10.48550/arxiv.1112.4700 · pith_short_12: XXF3KGYDVO5D · pith_short_16: XXF3KGYDVO5DGJE5 · pith_short_8: XXF3KGYD
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XXF3KGYDVO5DGJE5UON4OJFAEP \
  | 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: bdcbb51b03abba33249da39bc724a023f430fb1d6fcc96ba39060fe92b93676e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0286f6bf98620cbb858e5fb21fb78892593b97383ce83329dcc39ad1c1d9ac4b",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2011-12-17T13:16:07Z",
    "title_canon_sha256": "f3ab82b8d893c401ddbac9fa5a984a18d8203a28e4f15a7ab92ca1a3ce0af3ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4700",
    "kind": "arxiv",
    "version": 1
  }
}