Pith Number

pith:642SM3AJ

pith:2021:642SM3AJLEVRYI2KR4N5RYI3U2

not attested not anchored not stored refs pending

Long-range entanglement from measuring symmetry-protected topological phases

Ashvin Vishwanath, Nathanan Tantivasadakarn, Ruben Verresen, Ryan Thorngren

arxiv:2112.01519 v3 · 2021-12-02 · cond-mat.str-el · quant-ph

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{642SM3AJLEVRYI2KR4N5RYI3U2}

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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

5 papers in Pith

Shallow Unitary Circuits for Kramers-Wannier Dualities

Handbook of Error-Correcting Codes

What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries

Non-Invertible Symmetries on Tensor-Product Hilbert Spaces and Quantum Cellular Automata

Constructing Bulk Topological Orders via Layered Gauging

Receipt and verification

First computed	2026-07-05T08:28:55.530344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f735266c09592b1c234a8f1bd8e11ba6b54779eda6924faa58d36688a2afdea0

Aliases

arxiv: 2112.01519 · arxiv_version: 2112.01519v3 · doi: 10.48550/arxiv.2112.01519 · pith_short_12: 642SM3AJLEVR · pith_short_16: 642SM3AJLEVRYI2K · pith_short_8: 642SM3AJ

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/642SM3AJLEVRYI2KR4N5RYI3U2 \
  | 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: f735266c09592b1c234a8f1bd8e11ba6b54779eda6924faa58d36688a2afdea0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db57ae189ce3cf78e5eaf0970e5054c67c86ff3cff965e691197c535929215ba",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2021-12-02T18:59:36Z",
    "title_canon_sha256": "32b279a315dab1463fa4b482cd3475d7cb70f663f173745b182799e336d8acce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.01519",
    "kind": "arxiv",
    "version": 3
  }
}