Pith Number

pith:272EWMVU

pith:2012:272EWMVUHNNE4J6SNJCINRWEU5

not attested not anchored not stored refs pending

Principal torus bundles of Lorentzian S-manifolds and the {\phi}-null Osserman condition

Angelo V. Caldarella, Letizia Brunetti

arxiv:1207.5786 v1 · 2012-07-24 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{272EWMVUHNNE4J6SNJCINRWEU5}

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	2026-05-18T03:18:31.745338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7f44b32b43b5a4e27d26a4486c6c4a7500ac948d9c7e758ffc9019ed5d473cd

Aliases

arxiv: 1207.5786 · arxiv_version: 1207.5786v1 · doi: 10.48550/arxiv.1207.5786 · pith_short_12: 272EWMVUHNNE · pith_short_16: 272EWMVUHNNE4J6S · pith_short_8: 272EWMVU

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/272EWMVUHNNE4J6SNJCINRWEU5 \
  | 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: d7f44b32b43b5a4e27d26a4486c6c4a7500ac948d9c7e758ffc9019ed5d473cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "217a4c476cc649bd45ef960a85b113e15714aa542ca68359c047847e7b2c393b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-07-24T19:58:22Z",
    "title_canon_sha256": "51ed66ae53022bfbc5bcf8d5ae33a0c897fb3a4e51c59306853fa12a50f0bd6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5786",
    "kind": "arxiv",
    "version": 1
  }
}