Pith Number

pith:2IEJT35I

pith:2007:2IEJT35IELMFK2FDSOBHL2F47S

not attested not anchored not stored refs pending

Entanglement renormalization and topological order

Guifre Vidal, Miguel Aguado

arxiv:0712.0348 v2 · 2007-12-03 · cond-mat.str-el · 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{2IEJT35IELMFK2FDSOBHL2F47S}

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.

Cited by

1 paper in Pith

Shallow Unitary Circuits for Kramers-Wannier Dualities

Receipt and verification

First computed	2026-07-04T15:09:39.370825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d20899efa822d85568a3938275e8bcfc9be42eb89411cf88cbd85feb87b9b1d8

Aliases

arxiv: 0712.0348 · arxiv_version: 0712.0348v2 · doi: 10.48550/arxiv.0712.0348 · pith_short_12: 2IEJT35IELMF · pith_short_16: 2IEJT35IELMFK2FD · pith_short_8: 2IEJT35I

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/2IEJT35IELMFK2FDSOBHL2F47S \
  | 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: d20899efa822d85568a3938275e8bcfc9be42eb89411cf88cbd85feb87b9b1d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "589046ad1cec9825edd09ef5808e80f54e8db7a4f159f30969c2f35b1e99c138",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2007-12-03T17:12:06Z",
    "title_canon_sha256": "14a62635e5bebaf7f0fa2d5f8e10cc6b3ff5c3bcdd7e6a01b4c96f253463ea8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.0348",
    "kind": "arxiv",
    "version": 2
  }
}