Pith Number

pith:YPROJZ2X

pith:2021:YPROJZ2XYLDL4I2OPUEZ63HJH2

not attested not anchored not stored refs pending

Constraints from High-Precision Measurements of the Cosmic Microwave Background: The Case of Disintegrating Dark Matter with ${\Lambda}$ or Dynamical Dark Energy

Eleonora Di Valentino, Luis A. Anchordoqui, Supriya Pan, Weiqiang Yang, Wenzhong Liu, Yabo Wu

arxiv:2108.04188 v3 · 2021-08-09 · astro-ph.CO · 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{YPROJZ2XYLDL4I2OPUEZ63HJH2}

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	2026-07-05T03:56:48.542543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3e2e4e757c2c6be234e7d099f6ce93e8846ade711ac7ec61a602eb6a6b6e74c

Aliases

arxiv: 2108.04188 · arxiv_version: 2108.04188v3 · doi: 10.48550/arxiv.2108.04188 · pith_short_12: YPROJZ2XYLDL · pith_short_16: YPROJZ2XYLDL4I2O · pith_short_8: YPROJZ2X

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/YPROJZ2XYLDL4I2OPUEZ63HJH2 \
  | 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: c3e2e4e757c2c6be234e7d099f6ce93e8846ade711ac7ec61a602eb6a6b6e74c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ef10fdf75e3bd193f96db7983625b076e746278e2526767f74356a3bb9b7cb0",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-08-09T17:22:49Z",
    "title_canon_sha256": "451af870b616d35137a0885f85c95eb7e3a6ec27761e4b9d3bc6712a026ad6c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.04188",
    "kind": "arxiv",
    "version": 3
  }
}