Pith Number

pith:ITNU6T4I

pith:2017:ITNU6T4IBIBTSXWCAEU6TRHWF7

not attested not anchored not stored refs pending

Van der Waals-like phase transition from holographic entanglement entropy in Lorentz breaking massive gravity

Hong-Bo Shao, Xian-Ming Liu, Xiao-Xiong Zeng

arxiv:1706.04431 v1 · 2017-06-14 · gr-qc · 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{ITNU6T4IBIBTSXWCAEU6TRHWF7}

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	2026-05-18T00:31:35.863434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44db4f4f880a03395ec20129e9c4f62fe4a28a72aa1b1982748daae8614db5cc

Aliases

arxiv: 1706.04431 · arxiv_version: 1706.04431v1 · doi: 10.48550/arxiv.1706.04431 · pith_short_12: ITNU6T4IBIBT · pith_short_16: ITNU6T4IBIBTSXWC · pith_short_8: ITNU6T4I

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/ITNU6T4IBIBTSXWCAEU6TRHWF7 \
  | 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: 44db4f4f880a03395ec20129e9c4f62fe4a28a72aa1b1982748daae8614db5cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "416bd215b4cf7377438ad6ce2b638b7db4490c9128eb65e5426914dd33cff060",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-06-14T12:21:32Z",
    "title_canon_sha256": "ac41ef09834a533055d22db5e1ae96d1f74a15420b9e2dac334a1efdcd039fb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.04431",
    "kind": "arxiv",
    "version": 1
  }
}