Pith Number

pith:XLBKJBEO

pith:2010:XLBKJBEOOEUPKHXWTKDW4W5O2I

not attested not anchored not stored refs pending

Even-Odd Effects of Heisenberg Chains on Long-range Interaction and Entanglement

Mark Friesen, Sangchul Oh, Xuedong Hu

arxiv:1007.4136 v1 · 2010-07-23 · 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{XLBKJBEOOEUPKHXWTKDW4W5O2I}

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	2026-05-18T04:39:40.367246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bac2a4848e7128f51ef69a876e5baed20314f39966589acdb84eaabdaef789f8

Aliases

arxiv: 1007.4136 · arxiv_version: 1007.4136v1 · doi: 10.48550/arxiv.1007.4136 · pith_short_12: XLBKJBEOOEUP · pith_short_16: XLBKJBEOOEUPKHXW · pith_short_8: XLBKJBEO

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/XLBKJBEOOEUPKHXWTKDW4W5O2I \
  | 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: bac2a4848e7128f51ef69a876e5baed20314f39966589acdb84eaabdaef789f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3c5528699a12428f6a57fd4d9ad75e01475ee7ce7dcfe9ed8e30e041003ba6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-07-23T14:06:28Z",
    "title_canon_sha256": "400770242bd8cfd5e0a89405d90cbf09e8949e9f5edbe438c0cb908ac4218630"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.4136",
    "kind": "arxiv",
    "version": 1
  }
}