Pith Number

pith:I7TPXUXX

pith:2008:I7TPXUXXBUI4R75I6D66AZKIN2

not attested not anchored not stored refs pending

Dynamics of Bianchi type I solutions of the Einstein equations with anisotropic matter

J. Mark Heinzle, Simone Calogero

arxiv:0809.1008 v2 · 2008-09-05 · 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{I7TPXUXXBUI4R75I6D66AZKIN2}

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	2026-05-18T02:35:14.977334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47e6fbd2f70d11c8ffa8f0fde065486ea4f238129220b6afbe9c3d2d0bd1cc45

Aliases

arxiv: 0809.1008 · arxiv_version: 0809.1008v2 · doi: 10.48550/arxiv.0809.1008 · pith_short_12: I7TPXUXXBUI4 · pith_short_16: I7TPXUXXBUI4R75I · pith_short_8: I7TPXUXX

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/I7TPXUXXBUI4R75I6D66AZKIN2 \
  | 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: 47e6fbd2f70d11c8ffa8f0fde065486ea4f238129220b6afbe9c3d2d0bd1cc45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c753fdaee4f93d836133e785f81a36416df80b4f6612f3d58a4f9c2848b9ec6e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2008-09-05T11:28:19Z",
    "title_canon_sha256": "a2c85469fdd32e5b9b45c838b23d5ae33fdfa047be8554e1f370df08cfc14c52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.1008",
    "kind": "arxiv",
    "version": 2
  }
}