Pith Number

pith:ZZGSZ6NC

pith:2025:ZZGSZ6NCAY7GXAXTKPBYQ2ALWY

not attested not anchored not stored refs pending

Holographic Fractional Order Phase Transitions in CFTs Dual to AdS Black Holes

Abhishek Baruah, Prabwal Phukon

arxiv:2506.21947 v2 · 2025-06-27 · 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{ZZGSZ6NCAY7GXAXTKPBYQ2ALWY}

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	2026-07-05T11:33:05.781261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce4d2cf9a2063e6b82f353c388680bb61a4e1cf47f62803288bb28de11597ac7

Aliases

arxiv: 2506.21947 · arxiv_version: 2506.21947v2 · doi: 10.48550/arxiv.2506.21947 · pith_short_12: ZZGSZ6NCAY7G · pith_short_16: ZZGSZ6NCAY7GXAXT · pith_short_8: ZZGSZ6NC

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/ZZGSZ6NCAY7GXAXTKPBYQ2ALWY \
  | 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: ce4d2cf9a2063e6b82f353c388680bb61a4e1cf47f62803288bb28de11597ac7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "609f84fee24097a2db834c41fade660876dbd4f75fc1211995b56733e1fe0c12",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-06-27T06:41:25Z",
    "title_canon_sha256": "a09c5f332d44e7e9f33a4e6d261df2ddb5467ddf3e5af0e975191787785bef9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.21947",
    "kind": "arxiv",
    "version": 2
  }
}