pith. sign in
Pith Number

pith:XSMSU7VJ

pith:2016:XSMSU7VJ3WSSIUSMFNH6XOJMNK
not attested not anchored not stored refs pending

SU(2)$_{\tiny\mbox{CMB}}$ at high redshifts and the value of $H_0$

Ralf Hofmann, Steffen Hahn

arxiv:1611.02561 v3 · 2016-10-31 · physics.gen-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XSMSU7VJ3WSSIUSMFNH6XOJMNK}

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 2026-05-18T00:43:35.512472Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

bc992a7ea9dda524524c2b4febb92c6aaf5ab23ce810416a1bdf2cca4fafa23b

Aliases

arxiv: 1611.02561 · arxiv_version: 1611.02561v3 · doi: 10.48550/arxiv.1611.02561 · pith_short_12: XSMSU7VJ3WSS · pith_short_16: XSMSU7VJ3WSSIUSM · pith_short_8: XSMSU7VJ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XSMSU7VJ3WSSIUSMFNH6XOJMNK \
  | 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: bc992a7ea9dda524524c2b4febb92c6aaf5ab23ce810416a1bdf2cca4fafa23b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a8f34988548a0c3725c38e3e96ed434254ddf1b07df0b14f3b7b25fb737a86db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2016-10-31T16:19:31Z",
    "title_canon_sha256": "b18ffe3459c45bdf20190e5f5feaa91782b1fb1a192699856890c0a934f2cfdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02561",
    "kind": "arxiv",
    "version": 3
  }
}