Pith Number

pith:OOCLMXAT

pith:2016:OOCLMXATVSG3TBJLCDYJICB7FC

not attested not anchored not stored refs pending

Comment on "Quantum Raychaudhuri equation"

Djamel Dou, E. I. Lashin

arxiv:1606.04738 v2 · 2016-06-15 · 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{OOCLMXATVSG3TBJLCDYJICB7FC}

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	2026-05-18T00:47:20.861627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7384b65c13ac8db9852b10f094083f2883c7cab03b8cb24a0c19f33639b78a4d

Aliases

arxiv: 1606.04738 · arxiv_version: 1606.04738v2 · doi: 10.48550/arxiv.1606.04738 · pith_short_12: OOCLMXATVSG3 · pith_short_16: OOCLMXATVSG3TBJL · pith_short_8: OOCLMXAT

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/OOCLMXATVSG3TBJLCDYJICB7FC \
  | 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: 7384b65c13ac8db9852b10f094083f2883c7cab03b8cb24a0c19f33639b78a4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c6e375f5c7f3691e0953cc32a9dec375173fcbb4ad03b7097f894ecf6488d0d",
    "cross_cats_sorted": [
      "hep-th",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-06-15T12:23:56Z",
    "title_canon_sha256": "548584b6b86cc7d32c0bdfe523eb4781d2fd5822b745ea6ff5d6e30ff458257e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04738",
    "kind": "arxiv",
    "version": 2
  }
}