Pith Number

pith:CGN63L3C

pith:2025:CGN63L3CTDRRLNAOHF5IE6R43N

not attested not anchored not stored refs pending

A Critical Point on the Hairy Black Hole Phase Boundary in the Improved Holographic Einstein-Maxwell-Dilaton Theory

Bean Wang, Hong Guo, Wei-Liang Qian

arxiv:2509.03947 v1 · 2025-09-04 · hep-th · 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{CGN63L3CTDRRLNAOHF5IE6R43N}

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	2026-07-05T12:04:50.285908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

119bedaf6298e315b40e397a827a3cdb7bfe950c8327b9a06908b948fcdbca0c

Aliases

arxiv: 2509.03947 · arxiv_version: 2509.03947v1 · doi: 10.48550/arxiv.2509.03947 · pith_short_12: CGN63L3CTDRR · pith_short_16: CGN63L3CTDRRLNAO · pith_short_8: CGN63L3C

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/CGN63L3CTDRRLNAOHF5IE6R43N \
  | 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: 119bedaf6298e315b40e397a827a3cdb7bfe950c8327b9a06908b948fcdbca0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de707f1e0c12c716a32d89da0bc42f8c4850356d99c19f8b4991f278b3f53e0f",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-09-04T07:17:05Z",
    "title_canon_sha256": "de7f1d659ad9859542706694554ddddbb9e24d06226d337e9479af3a047ef63a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.03947",
    "kind": "arxiv",
    "version": 1
  }
}