Pith Number

pith:UI2GBLBI

pith:2021:UI2GBLBI5U75JNBMSLYASBSXAP

not attested not anchored not stored refs pending

Turnaround radius in $\Lambda$CDM, and dark matter cosmologies with shear and vorticity

Antonino Del Popolo, David F. Mota, Man Ho Chan

arxiv:2104.11994 v1 · 2021-04-24 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UI2GBLBI5U75JNBMSLYASBSXAP}

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	2026-07-05T02:34:52.445162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a23460ac28ed3fd4b42c92f009065703c048cca6162c7fb13f2dec8bdbdde8ee

Aliases

arxiv: 2104.11994 · arxiv_version: 2104.11994v1 · doi: 10.48550/arxiv.2104.11994 · pith_short_12: UI2GBLBI5U75 · pith_short_16: UI2GBLBI5U75JNBM · pith_short_8: UI2GBLBI

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/UI2GBLBI5U75JNBMSLYASBSXAP \
  | 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: a23460ac28ed3fd4b42c92f009065703c048cca6162c7fb13f2dec8bdbdde8ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c3f6010efcec75e7197c901c704c21186648c81b3d68f7670fd004033203cfa",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-04-24T18:06:10Z",
    "title_canon_sha256": "4b2f38ff6df004fc0f9a6d6367ff95e5530243f21e3b16967738c91381120538"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.11994",
    "kind": "arxiv",
    "version": 1
  }
}