Pith Number

pith:VVQZ7MOU

pith:2014:VVQZ7MOUUK4D67PU74HHCHGAAE

not attested not anchored not stored refs pending

Critical collapse in the spherically-symmetric Einstein-Vlasov model

Arman Akbarian, Matthew W. Choptuik

arxiv:1409.5176 v1 · 2014-09-18 · 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{VVQZ7MOUUK4D67PU74HHCHGAAE}

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.

Cited by

1 paper in Pith

Gravitational collapse in the vicinity of the extremal black hole critical point

Receipt and verification

First computed	2026-05-18T02:32:53.107837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad619fb1d4a2b83f7df4ff0e711cc00131d38458dae54657a910c1cbc959f405

Aliases

arxiv: 1409.5176 · arxiv_version: 1409.5176v1 · doi: 10.48550/arxiv.1409.5176 · pith_short_12: VVQZ7MOUUK4D · pith_short_16: VVQZ7MOUUK4D67PU · pith_short_8: VVQZ7MOU

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/VVQZ7MOUUK4D67PU74HHCHGAAE \
  | 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: ad619fb1d4a2b83f7df4ff0e711cc00131d38458dae54657a910c1cbc959f405

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "810f6228ef0851c3f32c2d6f3f01c73418173a8fb4cfa09b9c9383b2ac8d4be8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2014-09-18T02:09:46Z",
    "title_canon_sha256": "a166a751b839a77228a0c05b60dd65df31b2d91b515c559113d990fa859ef485"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.5176",
    "kind": "arxiv",
    "version": 1
  }
}