Pith Number

pith:PJFHRMER

pith:2019:PJFHRMER77U2G6EBM5JWIJVJBX

not attested not anchored not stored refs pending

Globally hyperbolic spacetimes can be defined without the 'causal' condition

E. Minguzzi, R. A. Hounnonkpe

arxiv:1908.11701 v2 · 2019-08-30 · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PJFHRMER77U2G6EBM5JWIJVJBX}

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

1 paper in Pith

Impossibility of superluminal signalling rules out causal loops in conical spacetimes

Receipt and verification

First computed	2026-07-05T00:04:44.449612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a4a78b091ffe9a3788167536426a90dcfe1ede7b11aa521146a25f2d600cd5c

Aliases

arxiv: 1908.11701 · arxiv_version: 1908.11701v2 · doi: 10.48550/arxiv.1908.11701 · pith_short_12: PJFHRMER77U2 · pith_short_16: PJFHRMER77U2G6EB · pith_short_8: PJFHRMER

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/PJFHRMER77U2G6EBM5JWIJVJBX \
  | 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: 7a4a78b091ffe9a3788167536426a90dcfe1ede7b11aa521146a25f2d600cd5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b3d483c0d15764cafd0d1560d5d85a307dc0a9d61a50372fd90963c2ffe28d5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-08-30T12:48:29Z",
    "title_canon_sha256": "1010f89c3b2e42a328b8947159de02e2f0622cb9dc9e0f763feebe2b78e906f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.11701",
    "kind": "arxiv",
    "version": 2
  }
}