Pith Number

pith:NCXKBZJ3

pith:2015:NCXKBZJ3JLQALGOVRPJZBAA7EM

not attested not anchored not stored refs pending

Constraints on the dark matter sound speed from galactic scales: the cases of the Modified and Extended Chaplygin Gas

P. P. Avelino, V. M. C. Ferreira

arxiv:1502.07583 v1 · 2015-02-26 · astro-ph.CO · astro-ph.GA · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NCXKBZJ3JLQALGOVRPJZBAA7EM}

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	2026-05-18T02:17:00.414736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68aea0e53b4ae00599d58bd390801f2311e116a742d61a9977db5cd6550127d6

Aliases

arxiv: 1502.07583 · arxiv_version: 1502.07583v1 · doi: 10.48550/arxiv.1502.07583 · pith_short_12: NCXKBZJ3JLQA · pith_short_16: NCXKBZJ3JLQALGOV · pith_short_8: NCXKBZJ3

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/NCXKBZJ3JLQALGOVRPJZBAA7EM \
  | 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: 68aea0e53b4ae00599d58bd390801f2311e116a742d61a9977db5cd6550127d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb6a7a69e89c935c59902fbd4572d0d24634ed422500518779e56ba4bb739dad",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2015-02-26T15:00:40Z",
    "title_canon_sha256": "7fdce2257d2c67ee647c1139f5770c7874a6cf9f191d8dbf27765bf0f5481f64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07583",
    "kind": "arxiv",
    "version": 1
  }
}