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Pith Number

pith:CS6ILSWL

pith:2019:CS6ILSWLKQHXCNOW5FNV3KSUZ5
not attested not anchored not stored refs pending

Raychaudhuri equation with zero point length

Alessandro Pesci, Dawood Kothawala, Sumanta Chakraborty

arxiv:1904.09053 v2 · 2019-04-19 · gr-qc · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{CS6ILSWLKQHXCNOW5FNV3KSUZ5}

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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

1 paper in Pith

Receipt and verification
First computed 2026-07-05T00:00:58.658063Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

14bc85cacb540f7135d6e95b5daa54cf5fca40e691332e55cfee44b78feb9f34

Aliases

arxiv: 1904.09053 · arxiv_version: 1904.09053v2 · doi: 10.48550/arxiv.1904.09053 · pith_short_12: CS6ILSWLKQHX · pith_short_16: CS6ILSWLKQHXCNOW · pith_short_8: CS6ILSWL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/CS6ILSWLKQHXCNOW5FNV3KSUZ5 \
  | 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: 14bc85cacb540f7135d6e95b5daa54cf5fca40e691332e55cfee44b78feb9f34
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b6161aba610d88992b216236cb955540ce746543b0298a3bc5882f579341b508",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-04-19T02:45:49Z",
    "title_canon_sha256": "f1df1825ced28449b9c7fcb4edd5050c245b9889a751dca442ccf30ce2cc2abc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.09053",
    "kind": "arxiv",
    "version": 2
  }
}