Pith Number

pith:NDMINAUT

pith:2016:NDMINAUTZIOFSRBKFOJ3JSWGME

not attested not anchored not stored refs pending

Comparison between the Logotropic and $\Lambda$CDM models at the cosmological scale

Pierre-Henri Chavanis, Suresh Kumar

arxiv:1612.01081 v2 · 2016-12-04 · 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{NDMINAUTZIOFSRBKFOJ3JSWGME}

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	2026-05-18T00:44:24.037676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68d8868293ca1c59442a2b93b4cac6610b0ded4d930cabf2616c9c8d489713e9

Aliases

arxiv: 1612.01081 · arxiv_version: 1612.01081v2 · doi: 10.48550/arxiv.1612.01081 · pith_short_12: NDMINAUTZIOF · pith_short_16: NDMINAUTZIOFSRBK · pith_short_8: NDMINAUT

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/NDMINAUTZIOFSRBKFOJ3JSWGME \
  | 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: 68d8868293ca1c59442a2b93b4cac6610b0ded4d930cabf2616c9c8d489713e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa2dd0c98758b0fcdc582286f3ae11846ac66350c269cdf427e217830e2e5e5f",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-12-04T07:16:00Z",
    "title_canon_sha256": "3f023a85ff19979877afd315c4d5a560bc7319b97c6cd5f77f9855acdc2da2d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01081",
    "kind": "arxiv",
    "version": 2
  }
}