Pith Number

pith:OPDJHYHU

pith:2017:OPDJHYHUWTAMXZVJKT3OHS4UUM

not attested not anchored not stored refs pending

Raychaudhuri equation in spacetimes with torsion

CENTRA), Lisbon, Paulo Luz (Minho U., Vincenzo Vitagliano (Lisbon

arxiv:1709.07261 v1 · 2017-09-21 · 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{OPDJHYHUWTAMXZVJKT3OHS4UUM}

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	2026-05-18T00:34:36.179187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73c693e0f4b4c0cbe6a954f6e3cb94a3339c63a8e16f9bc596e9eefbc07e45f5

Aliases

arxiv: 1709.07261 · arxiv_version: 1709.07261v1 · doi: 10.48550/arxiv.1709.07261 · pith_short_12: OPDJHYHUWTAM · pith_short_16: OPDJHYHUWTAMXZVJ · pith_short_8: OPDJHYHU

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/OPDJHYHUWTAMXZVJKT3OHS4UUM \
  | 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: 73c693e0f4b4c0cbe6a954f6e3cb94a3339c63a8e16f9bc596e9eefbc07e45f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06e254c40424670fb3941ddb64d04467e6436ab77a00db6c444ae671a1fe3e20",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-09-21T11:08:41Z",
    "title_canon_sha256": "539cb264c61129a74fb177e2efbcc8e6618ca4984c0d9d18461490a23fad5d51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.07261",
    "kind": "arxiv",
    "version": 1
  }
}