Pith Number

pith:DDO3CODU

pith:2020:DDO3CODUXZUYI47WKD3DNWHJR4

not attested not anchored not stored refs pending

Mixed State Entanglement and Thermal Phase Transitions

Jian-Pin Wu, Peng Liu

arxiv:2009.01529 v2 · 2020-09-03 · 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{DDO3CODUXZUYI47WKD3DNWHJR4}

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.

Cited by

1 paper in Pith

Mixed-state entanglement and phase transitions in Einstein-Born-Infeld massive gravity

Receipt and verification

First computed	2026-07-05T03:08:20.507564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18ddb13874be698473f650f636d8e98f063392a5a03b7e3aef44b05136f54d22

Aliases

arxiv: 2009.01529 · arxiv_version: 2009.01529v2 · doi: 10.48550/arxiv.2009.01529 · pith_short_12: DDO3CODUXZUY · pith_short_16: DDO3CODUXZUYI47W · pith_short_8: DDO3CODU

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/DDO3CODUXZUYI47WKD3DNWHJR4 \
  | 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: 18ddb13874be698473f650f636d8e98f063392a5a03b7e3aef44b05136f54d22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60566b0ea6a68efb8a4cb54f9e58a4bb0d2fd4c97e76aad351328da6a59ac625",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2020-09-03T09:14:39Z",
    "title_canon_sha256": "31c3abae3e21f5c3121f57586cd16e6e6cdc8b8a2072d83efe2dade70cb98c21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.01529",
    "kind": "arxiv",
    "version": 2
  }
}