Pith Number

pith:5IFBKYDE

pith:2006:5IFBKYDE4YF3GLE2ZZOGYSACKN

not attested not anchored not stored refs pending

The causal hierarchy of spacetimes

E. Minguzzi, M. Sanchez

arxiv:gr-qc/0609119 v3 · 2006-09-26 · gr-qc · 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{5IFBKYDE4YF3GLE2ZZOGYSACKN}

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

Metric affine gravity with dynamical chronology protection

Receipt and verification

First computed	2026-07-04T15:11:40.883361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea0a156064e60bb32c9ace5c6c4802535b88c96ebbd2f9570462a2dd8b69c242

Aliases

arxiv: gr-qc/0609119 · arxiv_version: gr-qc/0609119v3 · doi: 10.48550/arxiv.gr-qc/0609119 · pith_short_12: 5IFBKYDE4YF3 · pith_short_16: 5IFBKYDE4YF3GLE2 · pith_short_8: 5IFBKYDE

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/5IFBKYDE4YF3GLE2ZZOGYSACKN \
  | 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: ea0a156064e60bb32c9ace5c6c4802535b88c96ebbd2f9570462a2dd8b69c242

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa12d5e8630ee5916ee18d89c7e4d25e70031ae02df9d4bf84875ef763f8dee6",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2006-09-26T13:40:14Z",
    "title_canon_sha256": "77ec7978537ca9082a5d42110732b2585c3cd759970d831ead8a20fa67484052"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0609119",
    "kind": "arxiv",
    "version": 3
  }
}