Pith Number

pith:IBF2GSTA

pith:2026:IBF2GSTAS4M3INVLUUDTLXGB2N

not attested not anchored not stored refs pending

Phase Transitions with Lyapunov Exponents under Einstein and String Frames in Dilatonic Reissner--Nordstr\"om--AdS Black Holes

Bogeun Gwak, Hocheol Lee

arxiv:2607.01912 v1 · 2026-07-02 · 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{IBF2GSTAS4M3INVLUUDTLXGB2N}

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	2026-07-03T01:17:33.236539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

404ba34a609719b436aba50735dcc1d362d7e47214a5d03b7119e1e7f7f6c9fa

Aliases

arxiv: 2607.01912 · arxiv_version: 2607.01912v1 · doi: 10.48550/arxiv.2607.01912 · pith_short_12: IBF2GSTAS4M3 · pith_short_16: IBF2GSTAS4M3INVL · pith_short_8: IBF2GSTA

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/IBF2GSTAS4M3INVLUUDTLXGB2N \
  | 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: 404ba34a609719b436aba50735dcc1d362d7e47214a5d03b7119e1e7f7f6c9fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de4f3f7125828c0dc462561eeb22a9ca987fcb4c5c5d3269514ffa84bcb8aabb",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-02T09:12:06Z",
    "title_canon_sha256": "3fe0c7b93eb3f6301995f5f689c3bdade604ba5502704f105ef316fb7eae5fbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01912",
    "kind": "arxiv",
    "version": 1
  }
}