Pith Number

pith:EXWQDBEU

pith:2019:EXWQDBEUTMRHSA46O2DBIPCMS2

not attested not anchored not stored refs pending

The radius, at which a galaxy group stops the Hubble stream, and the group mass: an exact analytical solution

Anton N. Baushev

arxiv:1907.08716 v2 · 2019-07-19 · astro-ph.CO · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EXWQDBEUTMRHSA46O2DBIPCMS2}

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.

Cited by

1 paper in Pith

A semi-analytical approach to cosmic void evolution

Receipt and verification

First computed	2026-07-05T00:06:49.657766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25ed0184949b2279039e7686143c4c968f7507d42ad293478c3eb7e0ab66aee7

Aliases

arxiv: 1907.08716 · arxiv_version: 1907.08716v2 · doi: 10.48550/arxiv.1907.08716 · pith_short_12: EXWQDBEUTMRH · pith_short_16: EXWQDBEUTMRHSA46 · pith_short_8: EXWQDBEU

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/EXWQDBEUTMRHSA46O2DBIPCMS2 \
  | 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: 25ed0184949b2279039e7686143c4c968f7507d42ad293478c3eb7e0ab66aee7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2da1696856c57ba00e01bf8c0f774d2e4a48de3b0f14f9d2f24bde382c0a1d60",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2019-07-19T22:33:18Z",
    "title_canon_sha256": "1a2be19da10ce0ba154bfef6ed94abfa778d320ed0edb63f8175c9aa089790cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.08716",
    "kind": "arxiv",
    "version": 2
  }
}