Pith Number

pith:44J2BDHQ

pith:2011:44J2BDHQMN3MKEDU7LMVKTT2SZ

not attested not anchored not stored refs pending

Renormalization and small-world model of fractal quantum repeater networks

Bing-Hong Wang, Xiao-Pu Han, Zong-Wen Wei

arxiv:1111.0407 v4 · 2011-11-02 · physics.soc-ph · 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{44J2BDHQMN3MKEDU7LMVKTT2SZ}

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	2026-05-18T02:21:34.966149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e713a08cf06376c51074fad9554e7a96493bb91b79207d69a403f8fd1203bdfe

Aliases

arxiv: 1111.0407 · arxiv_version: 1111.0407v4 · doi: 10.48550/arxiv.1111.0407 · pith_short_12: 44J2BDHQMN3M · pith_short_16: 44J2BDHQMN3MKEDU · pith_short_8: 44J2BDHQ

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/44J2BDHQMN3MKEDU7LMVKTT2SZ \
  | 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: e713a08cf06376c51074fad9554e7a96493bb91b79207d69a403f8fd1203bdfe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99efe63a77da542fc2804a2e44953526e3b0721d8b6fe2608877137065528bb4",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2011-11-02T07:18:11Z",
    "title_canon_sha256": "31b61b8a553d6b76d50c2c6d517d30bbe266e2b0615e8a0a8d34d42e76187dbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0407",
    "kind": "arxiv",
    "version": 4
  }
}