Pith Number

pith:ZMCPI3PH

pith:2026:ZMCPI3PHASBLDECKHITHKW2XIN

not attested not anchored not stored refs pending

Nonlinear Dynamics near the Threshold of Gravitational Collapse

Jaime Redondo-Yuste, Josu C. Aurrekoetxea

arxiv:2607.27343 v1 · 2026-07-29 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZMCPI3PHASBLDECKHITHKW2XIN}

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	2026-07-31T00:10:42.818934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

cb04f46de70482b1904a3a26755b57434bae4fa0e4ad678fc72b3a37b2de673a

Aliases

arxiv: 2607.27343 · arxiv_version: 2607.27343v1 · doi: 10.48550/arxiv.2607.27343 · pith_short_12: ZMCPI3PHASBL · pith_short_16: ZMCPI3PHASBLDECK · pith_short_8: ZMCPI3PH

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/ZMCPI3PHASBLDECKHITHKW2XIN \
  | 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: cb04f46de70482b1904a3a26755b57434bae4fa0e4ad678fc72b3a37b2de673a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6f96ae6860b59324e7a3d5e009ff65f6ba193e57c2a5cb02faf4436b611444a",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-29T18:01:42Z",
    "title_canon_sha256": "0600019efdb251592a4d8c82f307c3da385e80fea42fab5aab6cbc9d8283ad25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27343",
    "kind": "arxiv",
    "version": 1
  }
}