Pith Number

pith:5KPLMVNZ

pith:2021:5KPLMVNZIVTIWHE5A4CS75KHVJ

not attested not anchored not stored refs pending

Improved Lemaitre-Tolman model and the mass and turn-around radius in group of galaxies

Antonino Del Popolo, Maksym Deliyergiyev, Man Ho Chan

arxiv:2103.12714 v1 · 2021-03-23 · 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{5KPLMVNZIVTIWHE5A4CS75KHVJ}

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	2026-07-05T02:25:49.157952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea9eb655b945668b1c9d07052ff547aa5f0890d69122a870a2db771a751ef75f

Aliases

arxiv: 2103.12714 · arxiv_version: 2103.12714v1 · doi: 10.48550/arxiv.2103.12714 · pith_short_12: 5KPLMVNZIVTI · pith_short_16: 5KPLMVNZIVTIWHE5 · pith_short_8: 5KPLMVNZ

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/5KPLMVNZIVTIWHE5A4CS75KHVJ \
  | 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: ea9eb655b945668b1c9d07052ff547aa5f0890d69122a870a2db771a751ef75f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6b2054ee393097872377dab99cb79b1c4f7ab4ed39d6852905d53c2bcbdc057",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-03-23T17:35:03Z",
    "title_canon_sha256": "1d657b171a14c7c552c2fa40f7c5597eb8c101c8a0d937a32cb596dfb9b21c9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.12714",
    "kind": "arxiv",
    "version": 1
  }
}