Pith Number

pith:4C7BXBWE

pith:2017:4C7BXBWEDFQDFVB6WMFKWI4SMV

not attested not anchored not stored refs pending

The Einstein-Vlasov system in spherical symmetry II: spherical perturbations of static solutions

Carsten Gundlach

arxiv:1708.07191 v1 · 2017-08-23 · 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{4C7BXBWEDFQDFVB6WMFKWI4SMV}

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	2026-05-18T00:33:07.619331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0be1b86c4196032d43eb30aab2392657a6835a0893c150728496257e71cdccf

Aliases

arxiv: 1708.07191 · arxiv_version: 1708.07191v1 · doi: 10.48550/arxiv.1708.07191 · pith_short_12: 4C7BXBWEDFQD · pith_short_16: 4C7BXBWEDFQDFVB6 · pith_short_8: 4C7BXBWE

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/4C7BXBWEDFQDFVB6WMFKWI4SMV \
  | 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: e0be1b86c4196032d43eb30aab2392657a6835a0893c150728496257e71cdccf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cfed7197ebde996e3d4f561ea87a085267c87c3d8f2f4fc17a1498825c7825f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-08-23T21:19:36Z",
    "title_canon_sha256": "67796d1dbf56ddb84c6fb581f542f870cdb14db1d5364349911b5435cd2c2ab8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.07191",
    "kind": "arxiv",
    "version": 1
  }
}