Pith Number

pith:3OM4LRQZ

pith:2026:3OM4LRQZVTKIA4VGICNKILC3F4

not attested not anchored not stored refs pending

Entropy dynamics in gravitational collapse: From Minkowski breaking to de Sitter thermodynamics

Francisco S. N. Lobo, Manuel E. Rodrigues

arxiv:2607.24349 v1 · 2026-07-27 · gr-qc · astro-ph.HE · 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{3OM4LRQZVTKIA4VGICNKILC3F4}

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	2026-07-28T02:23:58.664280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db99c5c619acd48072a6409aa42c5b2f02e4ec42bd16136e804629f3512c1826

Aliases

arxiv: 2607.24349 · arxiv_version: 2607.24349v1 · doi: 10.48550/arxiv.2607.24349 · pith_short_12: 3OM4LRQZVTKI · pith_short_16: 3OM4LRQZVTKIA4VG · pith_short_8: 3OM4LRQZ

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/3OM4LRQZVTKIA4VGICNKILC3F4 \
  | 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: db99c5c619acd48072a6409aa42c5b2f02e4ec42bd16136e804629f3512c1826

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22d6680df16bef4551859b8d0b09ae219704a798d9f300ac40febcf86532dd3c",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-27T12:27:50Z",
    "title_canon_sha256": "148b059f4852cbf1647f34a44e99f1983c600514e16aa6bc62d740ef96699bf5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.24349",
    "kind": "arxiv",
    "version": 1
  }
}