Pith Number

pith:L2AL43Y3

pith:2015:L2AL43Y3PFF6MN7TVJTZDG74JC

not attested not anchored not stored refs pending

Relativistic virial relation for cosmological structures

Javad T. Firouzjaee, Reza Javadinezhad, Reza Mansouri

arxiv:1510.04429 v2 · 2015-10-15 · gr-qc · 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{L2AL43Y3PFF6MN7TVJTZDG74JC}

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	2026-05-18T01:21:30.541004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e80be6f1b794be637f3aa67919bfc489a2e2b9ad08c89c6971e3a949fb35697

Aliases

arxiv: 1510.04429 · arxiv_version: 1510.04429v2 · doi: 10.48550/arxiv.1510.04429 · pith_short_12: L2AL43Y3PFF6 · pith_short_16: L2AL43Y3PFF6MN7T · pith_short_8: L2AL43Y3

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/L2AL43Y3PFF6MN7TVJTZDG74JC \
  | 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: 5e80be6f1b794be637f3aa67919bfc489a2e2b9ad08c89c6971e3a949fb35697

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e8dd8b95dccee0273d64a499a5e93ce501801beca3af741db02ec09fc8bca96",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-10-15T07:34:23Z",
    "title_canon_sha256": "d961c1d75bff311029edaf09995cd1bbe9a73c04b2bfcc0fad9abdd1eb8bd238"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04429",
    "kind": "arxiv",
    "version": 2
  }
}