Pith Number

pith:7NJDN3UD

pith:2015:7NJDN3UDJJ2XKTRV4RBUVIMCRS

not attested not anchored not stored refs pending

Cosmological redshift, recession velocities and acceleration measures in FRW cosmologies

A.V. Toporensky, Russia), S.B. Popov (Sternberg Astronomical Institute

arxiv:1503.05147 v2 · 2015-03-17 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7NJDN3UDJJ2XKTRV4RBUVIMCRS}

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	2026-05-18T01:26:31.635071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb5236ee834a75754e35e4434aa1828c9b6de44174aff01b745c6f27e1945569

Aliases

arxiv: 1503.05147 · arxiv_version: 1503.05147v2 · doi: 10.48550/arxiv.1503.05147 · pith_short_12: 7NJDN3UDJJ2X · pith_short_16: 7NJDN3UDJJ2XKTRV · pith_short_8: 7NJDN3UD

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/7NJDN3UDJJ2XKTRV4RBUVIMCRS \
  | 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: fb5236ee834a75754e35e4434aa1828c9b6de44174aff01b745c6f27e1945569

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bea0f7dd56777d7c0945d4cca0f188b7ab0251c0e2913f34d50175d06776a4f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-03-17T18:14:45Z",
    "title_canon_sha256": "89d70a0b946810e3cafab63de7e49442a4d319a444f0dfc8fcf2e5351444d7b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05147",
    "kind": "arxiv",
    "version": 2
  }
}