Pith Number

pith:AYK5XR6O

pith:1997:AYK5XR6OFBTXSUNQHATL76VAPV

not attested not anchored not stored refs pending

Mixmaster Behavior in Inhomogeneous Cosmological Spacetimes

Beverly K. Berger, James Isenberg, Marsha Weaver

arxiv:gr-qc/9712055 v3 · 1997-12-12 · 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{AYK5XR6OFBTXSUNQHATL76VAPV}

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	2026-07-04T16:04:41.895662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0615dbc7ce28677951b03826bffaa07d637e50bd23885687cd2d23e1fd3c493e

Aliases

arxiv: gr-qc/9712055 · arxiv_version: gr-qc/9712055v3 · doi: 10.48550/arxiv.gr-qc/9712055 · pith_short_12: AYK5XR6OFBTX · pith_short_16: AYK5XR6OFBTXSUNQ · pith_short_8: AYK5XR6O

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/AYK5XR6OFBTXSUNQHATL76VAPV \
  | 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: 0615dbc7ce28677951b03826bffaa07d637e50bd23885687cd2d23e1fd3c493e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af5e81275cb3ca3b54fdd38638a8b0bff8a73fbf3b3c78705f701caa45fbff8c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1997-12-12T04:28:04Z",
    "title_canon_sha256": "3797ea5d7f980d65b10ceee4402eb0c9678c4326c094f39bd08c568f4f123b9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9712055",
    "kind": "arxiv",
    "version": 3
  }
}