Pith Number

pith:PUVO37SE

pith:2026:PUVO37SEFFAJLLEVGIJW5IYVZV

not attested not anchored not stored refs pending

Critical Coupling Surfaces in $\kappa(R,T)$ Gravity: Regularity, Gravitational Screening, and Phase Transitions

Gin\'es R. P\'erez Teruel

arxiv:2606.11942 v1 · 2026-06-10 · 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{PUVO37SEFFAJLLEVGIJW5IYVZV}

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	2026-06-11T01:10:17.187304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d2aedfe44294095ac9532136ea315cd4448b082d004fc60969e9407fae7c6af

Aliases

arxiv: 2606.11942 · arxiv_version: 2606.11942v1 · doi: 10.48550/arxiv.2606.11942 · pith_short_12: PUVO37SEFFAJ · pith_short_16: PUVO37SEFFAJLLEV · pith_short_8: PUVO37SE

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/PUVO37SEFFAJLLEVGIJW5IYVZV \
  | 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: 7d2aedfe44294095ac9532136ea315cd4448b082d004fc60969e9407fae7c6af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28955db48bdd64375e6a28d500dde32df91a4ba6a5d1c1b44056f7245b9e1f6c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-10T11:12:44Z",
    "title_canon_sha256": "92be88a56f79346c2b9f94978d33f3d6fd08b26a297683756b5a473ec290233c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11942",
    "kind": "arxiv",
    "version": 1
  }
}