Pith Number

pith:ML6LPCIS

pith:2015:ML6LPCIS7KHZETC4WFJUKN3XKP

not attested not anchored not stored refs pending

A note on proper curvature collineations in Bianchi type IV space-times

Amjad Ali, Ghulam Shabbir

arxiv:1512.07252 v1 · 2015-12-22 · 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{ML6LPCIS7KHZETC4WFJUKN3XKP}

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	2026-05-18T01:23:50.237885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62fcb78912fa8f924c5cb15345377753d2e74cc831caf90061e03fe3994dd49c

Aliases

arxiv: 1512.07252 · arxiv_version: 1512.07252v1 · doi: 10.48550/arxiv.1512.07252 · pith_short_12: ML6LPCIS7KHZ · pith_short_16: ML6LPCIS7KHZETC4 · pith_short_8: ML6LPCIS

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/ML6LPCIS7KHZETC4WFJUKN3XKP \
  | 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: 62fcb78912fa8f924c5cb15345377753d2e74cc831caf90061e03fe3994dd49c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18a647574e95887843df6ec2a84200f25c933cbe4a3e400d2364c613037c5f62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-12-22T07:41:49Z",
    "title_canon_sha256": "625f57941bf4145da11803bd11240ec35f078da37924a903f52707db5aab5045"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07252",
    "kind": "arxiv",
    "version": 1
  }
}