Pith Number

pith:QL7XOLSR

pith:2013:QL7XOLSRZ7DM6HA35THXI4KU2Y

not attested not anchored not stored refs pending

Dark Radiation candidates after Planck

Alessandro Melchiorri, Eleonora Di Valentino, Olga Mena

arxiv:1304.5981 v1 · 2013-04-22 · 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{QL7XOLSRZ7DM6HA35THXI4KU2Y}

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

2 papers in Pith

In the Realm of the Hubble tension $-$ a Review of Solutions

CMB signatures of gravity-mediated dark radiation in $\mathbf{\Delta N_{\rm eff}}$

Receipt and verification

First computed	2026-05-18T01:50:23.609174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82ff772e51cfc6cf1c1beccf747154d630c7f3de9ad9019ff41f653ba40be0a1

Aliases

arxiv: 1304.5981 · arxiv_version: 1304.5981v1 · doi: 10.48550/arxiv.1304.5981 · pith_short_12: QL7XOLSRZ7DM · pith_short_16: QL7XOLSRZ7DM6HA3 · pith_short_8: QL7XOLSR

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/QL7XOLSRZ7DM6HA35THXI4KU2Y \
  | 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: 82ff772e51cfc6cf1c1beccf747154d630c7f3de9ad9019ff41f653ba40be0a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55beba32520dda81168cdfb78037df5c722f2c09c14c1612080ba08ab95315cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-04-22T15:21:06Z",
    "title_canon_sha256": "acc44d4e5cbda9b5dece1c5bc1e32191eb1fb336298b7bee14b1e3ba85e7079e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5981",
    "kind": "arxiv",
    "version": 1
  }
}