Pith Number

pith:2JKJPYLA

pith:2016:2JKJPYLA56KOIADNK2LRIAWGKU

not attested not anchored not stored refs pending

Bianchi VIII and IX vacuum cosmologies: Almost every solution forms particle horizons and converges to the Mixmaster attractor

Bernhard Brehm

arxiv:1606.08058 v1 · 2016-06-26 · 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{2JKJPYLA56KOIADNK2LRIAWGKU}

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	2026-05-18T01:11:53.932420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d25497e160ef94e4006d56971402c6553c22376012f04da5a26643569a8e7a50

Aliases

arxiv: 1606.08058 · arxiv_version: 1606.08058v1 · doi: 10.48550/arxiv.1606.08058 · pith_short_12: 2JKJPYLA56KO · pith_short_16: 2JKJPYLA56KOIADN · pith_short_8: 2JKJPYLA

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/2JKJPYLA56KOIADNK2LRIAWGKU \
  | 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: d25497e160ef94e4006d56971402c6553c22376012f04da5a26643569a8e7a50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9babff8032f524de87d1e736c0b87692dde59b8667d0240f1854367d7031ae6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-06-26T17:31:33Z",
    "title_canon_sha256": "6a369dc36227be2ce9ee796cf59ea3a355c47a30cde073f513b2b437786c9eff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08058",
    "kind": "arxiv",
    "version": 1
  }
}