Pith Number

pith:YHNGZIPG

pith:2009:YHNGZIPGDNB4N5TZDJQBSTYT7G

not attested not anchored not stored refs pending

Formation of trapped surfaces for the spherically symmetric Einstein-Vlasov system

Gerhard Rein, Hakan Andreasson

arxiv:0910.1254 v1 · 2009-10-07 · 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{YHNGZIPGDNB4N5TZDJQBSTYT7G}

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	2026-05-18T04:26:31.961902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1da6ca1e61b43c6f6791a60194f13f9bf4d2baa49d846e832044b8bc3a5388c

Aliases

arxiv: 0910.1254 · arxiv_version: 0910.1254v1 · doi: 10.48550/arxiv.0910.1254 · pith_short_12: YHNGZIPGDNB4 · pith_short_16: YHNGZIPGDNB4N5TZ · pith_short_8: YHNGZIPG

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/YHNGZIPGDNB4N5TZDJQBSTYT7G \
  | 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: c1da6ca1e61b43c6f6791a60194f13f9bf4d2baa49d846e832044b8bc3a5388c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fa90d11c0cda94dbe0ba5946269c55ec0f40590ffe4f8a6590ae26d929179cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-10-07T13:20:28Z",
    "title_canon_sha256": "2f885bb3c2713e7284faafb13b4f2ea4fe8e0b85eafbb83a1bc999e4f685aafd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.1254",
    "kind": "arxiv",
    "version": 1
  }
}