Pith Number

pith:O2C5IC4B

pith:2004:O2C5IC4BLSV7KUEKJ7YFVVO7AO

not attested not anchored not stored refs pending

Structure of solutions near the initial singularity for the surface-symmetric Einstein-Vlasov system

Sophonie Blaise Tchapnda

arxiv:gr-qc/0407062 v1 · 2004-07-16 · 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{O2C5IC4BLSV7KUEKJ7YFVVO7AO}

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	2026-05-18T02:37:30.017144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7685d40b815cabf5508a4ff05ad5df03ae1768078300f2e3e02e87e01889d033

Aliases

arxiv: gr-qc/0407062 · arxiv_version: gr-qc/0407062v1 · doi: 10.48550/arxiv.gr-qc/0407062 · pith_short_12: O2C5IC4BLSV7 · pith_short_16: O2C5IC4BLSV7KUEK · pith_short_8: O2C5IC4B

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/O2C5IC4BLSV7KUEKJ7YFVVO7AO \
  | 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: 7685d40b815cabf5508a4ff05ad5df03ae1768078300f2e3e02e87e01889d033

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dc96dd245c344070498909be6507be42ce42e5da96aa04b7847acdb205449e1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-07-16T08:00:07Z",
    "title_canon_sha256": "88658651abe8ec8a01684e2382391e700443d94320b4e5d6dfb51676ec7e7a22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0407062",
    "kind": "arxiv",
    "version": 1
  }
}