Pith Number

pith:HFN4SZMA

pith:2013:HFN4SZMA3NDBR3SX7ZDKWMFKOD

not attested not anchored not stored refs pending

The spherical perfect fluid collapse with pressure in the cosmological background

Javad T. Firouzjaee, Rahim Moradi, Reza Mansouri

arxiv:1301.1480 v2 · 2013-01-08 · gr-qc · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HFN4SZMA3NDBR3SX7ZDKWMFKOD}

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	2026-05-18T00:28:32.839532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

395bc96580db4618ee57fe46ab30aa70c9d45e48fa39e8b2cf4074800891b00a

Aliases

arxiv: 1301.1480 · arxiv_version: 1301.1480v2 · doi: 10.48550/arxiv.1301.1480 · pith_short_12: HFN4SZMA3NDB · pith_short_16: HFN4SZMA3NDBR3SX · pith_short_8: HFN4SZMA

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/HFN4SZMA3NDBR3SX7ZDKWMFKOD \
  | 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: 395bc96580db4618ee57fe46ab30aa70c9d45e48fa39e8b2cf4074800891b00a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba673e792cfe3cc75b8f4b27fdf83dd81a43fcebb2fa83ccfb7f11cc8a4c12eb",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-01-08T10:41:49Z",
    "title_canon_sha256": "2778685ea2204db310b99e28bce5ca0f45fd43d726452235c9a14b58f1e0e589"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1480",
    "kind": "arxiv",
    "version": 2
  }
}