Pith Number

pith:MXC2JFRK

pith:2006:MXC2JFRKI2PWG3JJMDIXM2NLFK

not attested not anchored not stored refs pending

Globally hyperbolic spacetimes can be defined as "causal" instead of "strongly causal"

Antonio N. Bernal, Miguel S\'anchez

arxiv:gr-qc/0611138 v1 · 2006-11-26 · 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{MXC2JFRKI2PWG3JJMDIXM2NLFK}

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

Free boundary space-like graphs with prescribed mean curvature

Receipt and verification

First computed	2026-07-04T17:01:35.902690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65c5a4962a469f636d2960d17669ab2a9e3e74487121780661c9e1c4a1a4d20b

Aliases

arxiv: gr-qc/0611138 · arxiv_version: gr-qc/0611138v1 · doi: 10.48550/arxiv.gr-qc/0611138 · pith_short_12: MXC2JFRKI2PW · pith_short_16: MXC2JFRKI2PWG3JJ · pith_short_8: MXC2JFRK

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/MXC2JFRKI2PWG3JJMDIXM2NLFK \
  | 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: 65c5a4962a469f636d2960d17669ab2a9e3e74487121780661c9e1c4a1a4d20b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8d86735bf81382f335350c5c4c2f49144209318c3075dcfe6ee3cc7a7764bd2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2006-11-26T14:53:39Z",
    "title_canon_sha256": "9bb88e190a54865a00151895ce6c6a3259988fe59eb463ea7898e1ef03f25936"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0611138",
    "kind": "arxiv",
    "version": 1
  }
}