Pith Number

pith:MWER6R5Q

pith:2002:MWER6R5QZLDRRUM66KCMIKE66B

not attested not anchored not stored refs pending

New mathematical framework for spherical gravitational collapse

Fabio Giannoni, Giulio Magli, Paolo Piccione, Roberto Giambo'

arxiv:gr-qc/0212082 v1 · 2002-12-19 · 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{MWER6R5QZLDRRUM66KCMIKE66B}

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	2026-05-18T00:37:31.961310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65891f47b0cac718d19ef284c4289ef068790f50af3fd4417dd82839b53ced24

Aliases

arxiv: gr-qc/0212082 · arxiv_version: gr-qc/0212082v1 · doi: 10.48550/arxiv.gr-qc/0212082 · pith_short_12: MWER6R5QZLDR · pith_short_16: MWER6R5QZLDRRUM6 · pith_short_8: MWER6R5Q

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/MWER6R5QZLDRRUM66KCMIKE66B \
  | 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: 65891f47b0cac718d19ef284c4289ef068790f50af3fd4417dd82839b53ced24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dec9dc8090c57c618b46ee1bfc5fa468cf22ba8e3dd3e02fc2b0d36f1e305cf",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2002-12-19T19:14:23Z",
    "title_canon_sha256": "5c669d2a2f00f16b246adf05cfb2d0a5f6143b97c81d4fa22882c68ab882d1ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0212082",
    "kind": "arxiv",
    "version": 1
  }
}