Pith Number

pith:W6BEOGYW

pith:2002:W6BEOGYW65L3V7KW2WEUUJX5F7

not attested not anchored not stored refs pending

Asymptotic entanglement capacity of the Ising and anisotropic Heisenberg interactions

A. M. Childs, D. W. Leung, F. Verstraete, G. Vidal

arxiv:quant-ph/0207052 v2 · 2002-07-10 · 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{W6BEOGYW65L3V7KW2WEUUJX5F7}

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	2026-05-17T23:57:54.634161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b782471b16f757bafd56d5894a26fd2ff35678fd134cfbb6e7e850f3ee701fb8

Aliases

arxiv: quant-ph/0207052 · arxiv_version: quant-ph/0207052v2 · doi: 10.48550/arxiv.quant-ph/0207052 · pith_short_12: W6BEOGYW65L3 · pith_short_16: W6BEOGYW65L3V7KW · pith_short_8: W6BEOGYW

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/W6BEOGYW65L3V7KW2WEUUJX5F7 \
  | 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: b782471b16f757bafd56d5894a26fd2ff35678fd134cfbb6e7e850f3ee701fb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "762ff5628c5f64839fa4d98245e148a65fe91e0963ca792ceb2189e359b1f954",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2002-07-10T19:13:06Z",
    "title_canon_sha256": "d19bf44fd053ed847dcc8bd5b63897002bdf75d90bb151d0aa4819be8ee0abf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0207052",
    "kind": "arxiv",
    "version": 2
  }
}