Pith Number

pith:CI2E5TTU

pith:2019:CI2E5TTUXWYD5DLUNSHYAVMS2G

not attested not anchored not stored refs pending

Singularity theorems and the inclusion of torsion in affine theories of gravity

Filipe C. Mena, Paulo Luz

arxiv:1909.00018 v1 · 2019-08-30 · 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{CI2E5TTUXWYD5DLUNSHYAVMS2G}

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

Tidal Forces in the Presence of Torsion and Nonmetricity

Torsional black holes and wormholes in Einstein-Cartan-Maxwell gravity with a conformal scalar field

Receipt and verification

First computed	2026-07-05T00:41:36.500246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12344ece74bdb03e8d746c8f805592d19bcc4725859fc11a39f207bbbd6cb5e3

Aliases

arxiv: 1909.00018 · arxiv_version: 1909.00018v1 · doi: 10.48550/arxiv.1909.00018 · pith_short_12: CI2E5TTUXWYD · pith_short_16: CI2E5TTUXWYD5DLU · pith_short_8: CI2E5TTU

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/CI2E5TTUXWYD5DLUNSHYAVMS2G \
  | 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: 12344ece74bdb03e8d746c8f805592d19bcc4725859fc11a39f207bbbd6cb5e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a199f8889878c799c081aadb14f69a0dd06ce981d761143a7fe7c1db94a905f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-08-30T18:14:11Z",
    "title_canon_sha256": "5927f5300c700cec86f3e9a6f45a82969550cd9999080095657885000af4ffb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.00018",
    "kind": "arxiv",
    "version": 1
  }
}