pith. sign in
Pith Number

pith:W4B2KMBS

pith:2017:W4B2KMBSB7GQHJNJEXQWODQ7DP
not attested not anchored not stored refs pending

Phase Portraits of general f(T) Cosmology

A. Awad, Emmanuel N. Saridakis, G.G.L. Nashed, W. El Hanafy

arxiv:1710.10194 v2 · 2017-10-27 · gr-qc · astro-ph.CO · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{W4B2KMBSB7GQHJNJEXQWODQ7DP}

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 2026-05-18T00:21:10.161910Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b703a530320fcd03a5a925e1670e1f1be1a29b4ff9b0d4f0a60daa04c27e3302

Aliases

arxiv: 1710.10194 · arxiv_version: 1710.10194v2 · doi: 10.48550/arxiv.1710.10194 · pith_short_12: W4B2KMBSB7GQ · pith_short_16: W4B2KMBSB7GQHJNJ · pith_short_8: W4B2KMBS
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/W4B2KMBSB7GQHJNJEXQWODQ7DP \
  | 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: b703a530320fcd03a5a925e1670e1f1be1a29b4ff9b0d4f0a60daa04c27e3302
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6b1c4d85e846e4cb2a75a06b8b9e2ab00bd615f69af5874c2771928bc496e7cf",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-10-27T15:25:19Z",
    "title_canon_sha256": "37b7af8d581d33edd0ad44f4cb7f03a2e8e22baa8a7cf60b67566a6b8e9d5476"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.10194",
    "kind": "arxiv",
    "version": 2
  }
}