Pith. sign in
Pith Number

pith:ASOETLVS

pith:2021:ASOETLVSHATHEUWC5JIMV6DZJM
not attested not anchored not stored refs pending

A test of the standard dark matter density evolution law using galaxy clusters and cosmic chronometers

Kamal Bora, R.F.L. Holanda, Shantanu Desai, S. H. Pereira

arxiv:2106.15805 v2 · 2021-06-30 · astro-ph.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ASOETLVSHATHEUWC5JIMV6DZJM}

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

Receipt and verification
First computed 2026-07-05T03:46:44.940955Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

049c49aeb238267252c2ea50caf8794b0bb09fab830eee6c74199c4c5d8d82c8

Aliases

arxiv: 2106.15805 · arxiv_version: 2106.15805v2 · doi: 10.48550/arxiv.2106.15805 · pith_short_12: ASOETLVSHATH · pith_short_16: ASOETLVSHATHEUWC · pith_short_8: ASOETLVS
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ASOETLVSHATHEUWC5JIMV6DZJM \
  | 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: 049c49aeb238267252c2ea50caf8794b0bb09fab830eee6c74199c4c5d8d82c8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "58860d66012b0cfa7b7817b4f2b5e82404c0b94662dde12793f75471671f16ba",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-06-30T04:37:43Z",
    "title_canon_sha256": "c84155a63acfdfbdc3ba52c532a33c95bd04a380efe03bb0adfd4eaa01894ef5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.15805",
    "kind": "arxiv",
    "version": 2
  }
}