Pith Number

pith:GMX4ZHSO

pith:2025:GMX4ZHSOXJN2VAW6WZSFKIB6YQ

not attested not anchored not stored refs pending

Capturing quantum phase transition in the ultraviolet region by holography

Fang-Jing Cheng, Jian-Pin Wu, Peng Liu, Yi Ling, Zhe Yang, Zhou-Jian Cao

arxiv:2507.07899 v2 · 2025-07-10 · 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{GMX4ZHSOXJN2VAW6WZSFKIB6YQ}

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	2026-07-05T11:55:41.223458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

332fcc9e4eba5baa82deb66455203ec42e88101e768673898df3893ec8a2baf9

Aliases

arxiv: 2507.07899 · arxiv_version: 2507.07899v2 · doi: 10.48550/arxiv.2507.07899 · pith_short_12: GMX4ZHSOXJN2 · pith_short_16: GMX4ZHSOXJN2VAW6 · pith_short_8: GMX4ZHSO

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/GMX4ZHSOXJN2VAW6WZSFKIB6YQ \
  | 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: 332fcc9e4eba5baa82deb66455203ec42e88101e768673898df3893ec8a2baf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "072338a5b0b2793bc739e038ca41b565ce507d862beb39bb0bd6abef619545a9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-07-10T16:27:42Z",
    "title_canon_sha256": "13cd28dbe05b18634ecfaeb5e4200482f10dc79dab29f4bc3007377d6000b201"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.07899",
    "kind": "arxiv",
    "version": 2
  }
}