Pith Number

pith:LM4OVSTA

pith:1994:LM4OVSTABJDVXOLIS5YLMWOP6U

not attested not anchored not stored refs pending

Observables and a Hilbert Space for Bianchi IX

Donald Marolf

arxiv:gr-qc/9409049 v1 · 1994-09-23 · 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{LM4OVSTABJDVXOLIS5YLMWOP6U}

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	2026-07-04T17:25:36.593644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b38eaca600a475bb9689770b659cff534ff7e124976ea51703630a00a633422

Aliases

arxiv: gr-qc/9409049 · arxiv_version: gr-qc/9409049v1 · doi: 10.48550/arxiv.gr-qc/9409049 · pith_short_12: LM4OVSTABJDV · pith_short_16: LM4OVSTABJDVXOLI · pith_short_8: LM4OVSTA

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/LM4OVSTABJDVXOLIS5YLMWOP6U \
  | 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: 5b38eaca600a475bb9689770b659cff534ff7e124976ea51703630a00a633422

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ffb576562946e8faf86d78c6ea04a0caf16c8d87c6497d81515b7b20b91d405",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1994-09-23T00:39:22Z",
    "title_canon_sha256": "98dd105304073a7af7bcae1a41b359514e188492294164e493e6e016cb49348e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9409049",
    "kind": "arxiv",
    "version": 1
  }
}