Pith Number

pith:3N6BPLGM

pith:2026:3N6BPLGMO6OGWGDVIMNKGOAZJK

not attested not anchored not stored refs pending

Asymmetric Quantum Oppenheimer-Snyder Collapse

Micha{\l} Bobula, Tomasz Paw{\l}owski

arxiv:2608.05818 v1 · 2026-08-06 · 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{3N6BPLGMO6OGWGDVIMNKGOAZJK}

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	2026-08-07T00:52:49.506147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db7c17accc779c6b1875431aa338194a869c1be535eed44631230d22abfcc30b

Aliases

arxiv: 2608.05818 · arxiv_version: 2608.05818v1 · doi: 10.48550/arxiv.2608.05818 · pith_short_12: 3N6BPLGMO6OG · pith_short_16: 3N6BPLGMO6OGWGDV · pith_short_8: 3N6BPLGM

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/3N6BPLGMO6OGWGDVIMNKGOAZJK \
  | 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: db7c17accc779c6b1875431aa338194a869c1be535eed44631230d22abfcc30b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77e1f52cebf556ee5edb3e125f510f5631cf4827af44daf05456abe9b5fe0517",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-08-06T09:48:56Z",
    "title_canon_sha256": "28a798fa8d8f9487a7842b07b097ca96d004c71950b88511c2a3dd6b8c8f6dd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.05818",
    "kind": "arxiv",
    "version": 1
  }
}