Pith Number

pith:YCOPJM3L

pith:2019:YCOPJM3L2QZJ4W3LPIY73DQLWA

not attested not anchored not stored refs pending

Inequalities of Holographic Entanglement of Purification from Bit Threads

Dong-Hui Du, Fu-Wen Shu, Kai-Xin Zhu

arxiv:1912.00557 v3 · 2019-12-02 · 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{YCOPJM3L2QZJ4W3LPIY73DQLWA}

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	2026-07-05T01:25:23.675171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c09cf4b36bd4329e5b6b7a31fd8e0bb028d26f01d4d16138037b5c51feafb171

Aliases

arxiv: 1912.00557 · arxiv_version: 1912.00557v3 · doi: 10.48550/arxiv.1912.00557 · pith_short_12: YCOPJM3L2QZJ · pith_short_16: YCOPJM3L2QZJ4W3L · pith_short_8: YCOPJM3L

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/YCOPJM3L2QZJ4W3LPIY73DQLWA \
  | 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: c09cf4b36bd4329e5b6b7a31fd8e0bb028d26f01d4d16138037b5c51feafb171

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25ad4a445860504e538c1385870e9fbf90fe1631c613ab5ff3e02087ca37ad3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-12-02T02:41:08Z",
    "title_canon_sha256": "d939b7b26ab8d87d1c0b133efd8cac20b469c6129bb09d3040027c731952e252"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.00557",
    "kind": "arxiv",
    "version": 3
  }
}