Pith Number

pith:R4W2PYDL

pith:2016:R4W2PYDLPUKHMJQUKXBBD4YSXN

not attested not anchored not stored refs pending

Mutual information of excited states and relative entropy of two disjoint subsystems in CFT

Tomonori Ugajin

arxiv:1611.03163 v1 · 2016-11-10 · 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{R4W2PYDLPUKHMJQUKXBBD4YSXN}

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	2026-05-18T00:30:06.352122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f2da7e06b7d1476261455c211f312bb57a8341e02e87aba1ea12296a57761f9

Aliases

arxiv: 1611.03163 · arxiv_version: 1611.03163v1 · doi: 10.48550/arxiv.1611.03163 · pith_short_12: R4W2PYDLPUKH · pith_short_16: R4W2PYDLPUKHMJQU · pith_short_8: R4W2PYDL

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/R4W2PYDLPUKHMJQUKXBBD4YSXN \
  | 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: 8f2da7e06b7d1476261455c211f312bb57a8341e02e87aba1ea12296a57761f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "133eb0e39ec645d006283637fcfc75d83fe095bb9535742178bd023087f8bf83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-11-10T02:14:46Z",
    "title_canon_sha256": "3cb59ec397a6b9228b39e49f5cbd5771650e6774b2b33fad7578ef6098df1bbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03163",
    "kind": "arxiv",
    "version": 1
  }
}