Pith Number

pith:J6EFGFUH

pith:2026:J6EFGFUH2DIBCE3KJVJZV4IJC3

not attested not anchored not stored refs pending

Exact Analytical Phase Transitions, Horizon Bistability, and Thermodynamic State-Space Representation of Regular Hayward Black Holes

Jiswin Varghese, Jyothipriya M Shaji, R. Tharanath, Sharin B

arxiv:2607.24254 v1 · 2026-07-27 · 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{J6EFGFUH2DIBCE3KJVJZV4IJC3}

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	2026-07-28T02:23:53.743979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f88531687d0d011136a4d539af10916e4f818a5ce46ad3f4e7104275bdf3e6c

Aliases

arxiv: 2607.24254 · arxiv_version: 2607.24254v1 · doi: 10.48550/arxiv.2607.24254 · pith_short_12: J6EFGFUH2DIB · pith_short_16: J6EFGFUH2DIBCE3K · pith_short_8: J6EFGFUH

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/J6EFGFUH2DIBCE3KJVJZV4IJC3 \
  | 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: 4f88531687d0d011136a4d539af10916e4f818a5ce46ad3f4e7104275bdf3e6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "724f2f833c38d8e602a2ea8f35e292985ec3d0117946ffc0434b22cd9c61855e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-27T10:45:33Z",
    "title_canon_sha256": "2b0f0843df6f2cc1c8d6d83d8b683369e1df299f62c8c6ba49480b5be9fe2fb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.24254",
    "kind": "arxiv",
    "version": 1
  }
}