Pith Number

pith:V7I5LWIA

pith:2000:V7I5LWIAN7S7E34GGZKRM3IFXH

not attested not anchored not stored refs pending

Dynamics of spatially homogeneous locally rotationally symmetric solutions of the Einstein-Vlasov equations

Alan D. Rendall, Claes Uggla

arxiv:gr-qc/0005116 v1 · 2000-05-25 · 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{V7I5LWIAN7S7E34GGZKRM3IFXH}

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	2026-07-04T16:19:39.043890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afd1d5d9006fe5f26f863655166d05b9dc4b0ef8e04adb1ce84f4bc1872080e8

Aliases

arxiv: gr-qc/0005116 · arxiv_version: gr-qc/0005116v1 · doi: 10.48550/arxiv.gr-qc/0005116 · pith_short_12: V7I5LWIAN7S7 · pith_short_16: V7I5LWIAN7S7E34G · pith_short_8: V7I5LWIA

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/V7I5LWIAN7S7E34GGZKRM3IFXH \
  | 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: afd1d5d9006fe5f26f863655166d05b9dc4b0ef8e04adb1ce84f4bc1872080e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b747bba768a405c9e424bac56194bdaf12ab059e8cc52951b0fd40f8a6d84594",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-05-25T13:05:36Z",
    "title_canon_sha256": "8dbd0191dea84da4979e7eae4408fd9a8b0b0f98b7253e6342ec3fb2316b2003"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0005116",
    "kind": "arxiv",
    "version": 1
  }
}