Pith Number

pith:3ZDUPH32

pith:2026:3ZDUPH327VNGKRUD7YSL2YEHTT

not attested not anchored not stored refs pending

Null geodesic defocusing in dynamical black-hole-to-white-hole transitions

Johanna Borissova, Matt Visser, Stefano Liberati

arxiv:2606.22404 v1 · 2026-06-21 · 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{3ZDUPH327VNGKRUD7YSL2YEHTT}

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	2026-06-23T02:13:37.520294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de47479f7afd5a654683fe24bd60879cc4c24494b2448e302ea580657e44b1e0

Aliases

arxiv: 2606.22404 · arxiv_version: 2606.22404v1 · doi: 10.48550/arxiv.2606.22404 · pith_short_12: 3ZDUPH327VNG · pith_short_16: 3ZDUPH327VNGKRUD · pith_short_8: 3ZDUPH32

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/3ZDUPH327VNGKRUD7YSL2YEHTT \
  | 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: de47479f7afd5a654683fe24bd60879cc4c24494b2448e302ea580657e44b1e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcab677ccfc9ebe3cb93c3c25ebad426d74bacd320cda08d698e0569ed88ffc2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-21T09:28:09Z",
    "title_canon_sha256": "bf30edbab5f742fcda5290f341ff69eb3ba56a04fe1a2a2f309a9cd91879186c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22404",
    "kind": "arxiv",
    "version": 1
  }
}