Pith Number

pith:7C7HRSTX

pith:2015:7C7HRSTXIQOIMKF2T6RKS3KDVG

not attested not anchored not stored refs pending

Classification of Cosmic Scale Factor via Noether Gauge Symmetries

Adil Jhangeer, M. Farasat Shamir, Nazish Iftikhar, Tayyaba Naz

arxiv:1507.01865 v1 · 2015-07-06 · 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{7C7HRSTXIQOIMKF2T6RKS3KDVG}

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	2026-05-18T01:37:12.231549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8be78ca77441c8628ba9fa2a96d43a98444ef92c20b5817afe8a5a0a3b60e10

Aliases

arxiv: 1507.01865 · arxiv_version: 1507.01865v1 · doi: 10.48550/arxiv.1507.01865 · pith_short_12: 7C7HRSTXIQOI · pith_short_16: 7C7HRSTXIQOIMKF2 · pith_short_8: 7C7HRSTX

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/7C7HRSTXIQOIMKF2T6RKS3KDVG \
  | 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: f8be78ca77441c8628ba9fa2a96d43a98444ef92c20b5817afe8a5a0a3b60e10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "780da3f707dd7bdf44e07769481bd5765af0bceff5646a81333463e6cf0df49c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-07-06T08:51:03Z",
    "title_canon_sha256": "852a62643e1d2ea43dcdd6b490262cdaf1abd9696051859c135944d924644b78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01865",
    "kind": "arxiv",
    "version": 1
  }
}