Pith Number

pith:54GS3VLH

pith:2016:54GS3VLHBPNMA6Q3GPJYV72SHH

not attested not anchored not stored refs pending

Effects of Cosmological Constant on Clustering of Galaxies

Ahmed Farag Ali, Mir Faizal, Mir Hameeda, Sudhaker Upadhyay

arxiv:1610.07990 v1 · 2016-10-17 · 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{54GS3VLHBPNMA6Q3GPJYV72SHH}

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	2026-05-18T01:01:17.033134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef0d2dd5670bdac07a1b33d38aff5239c57c0ee0f69be09b3ff9c8aace8eed61

Aliases

arxiv: 1610.07990 · arxiv_version: 1610.07990v1 · doi: 10.48550/arxiv.1610.07990 · pith_short_12: 54GS3VLHBPNM · pith_short_16: 54GS3VLHBPNMA6Q3 · pith_short_8: 54GS3VLH

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/54GS3VLHBPNMA6Q3GPJYV72SHH \
  | 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: ef0d2dd5670bdac07a1b33d38aff5239c57c0ee0f69be09b3ff9c8aace8eed61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56911203f83bdb097b0801b55320e51ee03bbab944e96b6505491e1e61df23b5",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-10-17T10:18:11Z",
    "title_canon_sha256": "a1062580f0cc80933a3127dcff8ef37a035d6a0dae7f28ea8b47cda6b54cc9b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07990",
    "kind": "arxiv",
    "version": 1
  }
}