Pith Number

pith:W3L2MISM

pith:2026:W3L2MISMZ3UX5DGJQBWVI45RJK

not attested not anchored not stored refs pending

Equilibrium Gibbs Bifurcations of Bardeen-AdS Black Holes at Fixed Pressure

J.-K. Wang

arxiv:2606.00099 v1 · 2026-05-25 · 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{W3L2MISMZ3UX5DGJQBWVI45RJK}

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	2026-06-02T00:03:14.949914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6d7a6224ccee97e8cc9806d5473b14a8a2d366de2c8f0540512c6afbd812d92

Aliases

arxiv: 2606.00099 · arxiv_version: 2606.00099v1 · doi: 10.48550/arxiv.2606.00099 · pith_short_12: W3L2MISMZ3UX · pith_short_16: W3L2MISMZ3UX5DGJ · pith_short_8: W3L2MISM

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/W3L2MISMZ3UX5DGJQBWVI45RJK \
  | 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: b6d7a6224ccee97e8cc9806d5473b14a8a2d366de2c8f0540512c6afbd812d92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "add94d9b87c8b43d9a3ec7e1a2a011b63ec23d36aba29abaacc0de5e957910f6",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-25T17:54:35Z",
    "title_canon_sha256": "cfd94dc3fc89b1fe41282063cbe6af353dfbb150d476cdb32b83d4360c2aec77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.00099",
    "kind": "arxiv",
    "version": 1
  }
}