Pith Number

pith:PSWXN5KM

pith:2013:PSWXN5KMTCDGKLOOGVRZ2MEKD3

not attested not anchored not stored refs pending

Quantum Raychaudhuri equation

Saurya Das (University of Lethbridge)

arxiv:1311.6539 v2 · 2013-11-26 · gr-qc · hep-th · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PSWXN5KMTCDGKLOOGVRZ2MEKD3}

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.

Cited by

2 papers in Pith

On gravitational collapse and integrable singularities

Receipt and verification

First computed	2026-05-18T01:46:06.207770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cad76f54c9886652dce35639d308a1ed648742f149fd10aceb95f101d1b2ae1

Aliases

arxiv: 1311.6539 · arxiv_version: 1311.6539v2 · doi: 10.48550/arxiv.1311.6539 · pith_short_12: PSWXN5KMTCDG · pith_short_16: PSWXN5KMTCDGKLOO · pith_short_8: PSWXN5KM

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/PSWXN5KMTCDGKLOOGVRZ2MEKD3 \
  | 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: 7cad76f54c9886652dce35639d308a1ed648742f149fd10aceb95f101d1b2ae1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71bd569959979d4d31607754a730a0f59d6dae3292dbeff70c203934112b2558",
    "cross_cats_sorted": [
      "hep-th",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-11-26T01:31:43Z",
    "title_canon_sha256": "efcc0a2c68cee7542f455e6df8a02dcd53719a94d4c1acf56e1b57047f01c83e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6539",
    "kind": "arxiv",
    "version": 2
  }
}