Pith Number

pith:MPKMWKYH

pith:2010:MPKMWKYHNJRPRAPN2PA3DYVZ7X

not attested not anchored not stored refs pending

The trumpet solution from spherical gravitational collapse with puncture gauges

Bernd Bruegmann, David Hilditch, Luciano Rezzolla, Marcus Thierfelder, Sebastiano Bernuzzi

arxiv:1012.3703 v2 · 2010-12-16 · gr-qc

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MPKMWKYHNJRPRAPN2PA3DYVZ7X}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:25:48.881345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63d4cb2b076a62f881edd3c1b1e2b9fde6e0ddd13740e7681e315a1de6f8a2cf

Aliases

arxiv: 1012.3703 · arxiv_version: 1012.3703v2 · doi: 10.48550/arxiv.1012.3703 · pith_short_12: MPKMWKYHNJRP · pith_short_16: MPKMWKYHNJRPRAPN · pith_short_8: MPKMWKYH

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/MPKMWKYHNJRPRAPN2PA3DYVZ7X \
  | 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: 63d4cb2b076a62f881edd3c1b1e2b9fde6e0ddd13740e7681e315a1de6f8a2cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97e8fed6cad4dd89b5b150047019dbb4ceb30de77ba3ee342dd7caa0d8cbcf28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-12-16T18:08:37Z",
    "title_canon_sha256": "a31213b18fbbba164f18c1ab18c673b167ab70246a94aabaae5691f351d20026"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3703",
    "kind": "arxiv",
    "version": 2
  }
}