Pith Number

pith:IDXWIKB7

pith:2013:IDXWIKB7RPHHCIZ3JR4TCAYIVD

not attested not anchored not stored refs pending

Entanglement entropy for a particle coupled with its surrounding

Chisanupong Puttarprom, Monsit Tanasittikisol, Sikarin Yoo-Kong, Watchara Liewrian

arxiv:1302.1959 v2 · 2013-02-08 · math-ph · cond-mat.stat-mech · math.MP · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IDXWIKB7RPHHCIZ3JR4TCAYIVD}

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	2026-05-18T02:49:03.373978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40ef64283f8bce71233b4c79310308a8e89e3713cbfae52f7ca6b67d112dd4c1

Aliases

arxiv: 1302.1959 · arxiv_version: 1302.1959v2 · doi: 10.48550/arxiv.1302.1959 · pith_short_12: IDXWIKB7RPHH · pith_short_16: IDXWIKB7RPHHCIZ3 · pith_short_8: IDXWIKB7

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/IDXWIKB7RPHHCIZ3JR4TCAYIVD \
  | 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: 40ef64283f8bce71233b4c79310308a8e89e3713cbfae52f7ca6b67d112dd4c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03146779587ff67ce186d4a250c42c798356eb9584a720170d89c811ef302f42",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-02-08T07:39:02Z",
    "title_canon_sha256": "0c2568aa36dae455a55a4aaebd826b7e68f1729aab192ed832069352298c8f50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1959",
    "kind": "arxiv",
    "version": 2
  }
}