Pith Number

pith:T7S24DMF

pith:2000:T7S24DMFMOIA7U36QLV7VBBEFS

not attested not anchored not stored refs pending

The exact cosmological solution to the dynamical equations for the Bianchi IX model

G. M. Vereshkov, T. P. Shestakova, V. A. Savchenko

arxiv:gr-qc/0007076 v1 · 2000-07-28 · 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{T7S24DMFMOIA7U36QLV7VBBEFS}

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	2026-05-18T00:53:52.216141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fe5ae0d8563900fd37e82ebfa84242ca2c8a216a7acbf0d1aaaa1f5e6461d62

Aliases

arxiv: gr-qc/0007076 · arxiv_version: gr-qc/0007076v1 · doi: 10.48550/arxiv.gr-qc/0007076 · pith_short_12: T7S24DMFMOIA · pith_short_16: T7S24DMFMOIA7U36 · pith_short_8: T7S24DMF

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/T7S24DMFMOIA7U36QLV7VBBEFS \
  | 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: 9fe5ae0d8563900fd37e82ebfa84242ca2c8a216a7acbf0d1aaaa1f5e6461d62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "239c2884c5b5eb2931d5c80d5a7342af1ec29c04042ec0dc00007a4ddab815cc",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-07-28T10:41:59Z",
    "title_canon_sha256": "98337863df712204bda95dce18435c5e7792e978a2421a2c7bf49f6c0a28b936"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0007076",
    "kind": "arxiv",
    "version": 1
  }
}