Pith. sign in
Pith Number

pith:TU4COMLL

pith:2023:TU4COMLLI5B2DGBKSZMSLSKIOD
not attested not anchored not stored refs pending

Quantum-Gravitational Null Raychaudhuri Equation

Francesco Setti, Maulik Parikh, Sang-Eon Bak, Sudipta Sarkar

arxiv:2312.17214 v2 · 2023-12-28 · gr-qc · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{TU4COMLLI5B2DGBKSZMSLSKIOD}

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

Receipt and verification
First computed 2026-07-05T08:48:40.450710Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9d3827316b4743a1982a965925c94870cba1a9b22a31c59c16cc9475f40a52eb

Aliases

arxiv: 2312.17214 · arxiv_version: 2312.17214v2 · doi: 10.48550/arxiv.2312.17214 · pith_short_12: TU4COMLLI5B2 · pith_short_16: TU4COMLLI5B2DGBK · pith_short_8: TU4COMLL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/TU4COMLLI5B2DGBKSZMSLSKIOD \
  | 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: 9d3827316b4743a1982a965925c94870cba1a9b22a31c59c16cc9475f40a52eb
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e22132649b29868c70bb5d45450aefb2bad4ecfbd9b95aa29511a5cb45772136",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2023-12-28T18:45:47Z",
    "title_canon_sha256": "200657d449c7a0bda7315cc9c94c80eaa11c98ea9d700ef83c2ff440415fca40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.17214",
    "kind": "arxiv",
    "version": 2
  }
}