Pith Number

pith:4VO23MOE

pith:2010:4VO23MOEWW3ILFL5CSPEISVKHV

not attested not anchored not stored refs pending

Gravitational collapse with non-vanishing tangential pressure

Daniele Malafarina, Pankaj S. Joshi

arxiv:1009.2169 v2 · 2010-09-11 · 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{4VO23MOEWW3ILFL5CSPEISVKHV}

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	2026-05-18T04:22:41.447138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e55dadb1c4b5b685957d149e444aaa3d66b7f8ccfc34f0a5257a474f9b787901

Aliases

arxiv: 1009.2169 · arxiv_version: 1009.2169v2 · doi: 10.48550/arxiv.1009.2169 · pith_short_12: 4VO23MOEWW3I · pith_short_16: 4VO23MOEWW3ILFL5 · pith_short_8: 4VO23MOE

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/4VO23MOEWW3ILFL5CSPEISVKHV \
  | 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: e55dadb1c4b5b685957d149e444aaa3d66b7f8ccfc34f0a5257a474f9b787901

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e3e0ff2058d3621db2f8b1ef846d4f9e1966fd46ae43966244f1e0ed4c8bf22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-09-11T13:53:36Z",
    "title_canon_sha256": "5b4b587d8aadfe23e1d36ca406c5e173a509333d74b2ee672ff4413bf452b84a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2169",
    "kind": "arxiv",
    "version": 2
  }
}