Pith Number

pith:2PZ6K64U

pith:2023:2PZ6K64U4BDLW4W7NWHRRL3WWM

not attested not anchored not stored refs pending

$W$ state is not the unique ground state of any local Hamiltonian

Lei Gioia, Ryan Thorngren

arxiv:2310.10716 v2 · 2023-10-16 · cond-mat.str-el · cond-mat.stat-mech · math-ph · math.MP · 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{2PZ6K64U4BDLW4W7NWHRRL3WWM}

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

Entanglement Pattern Transition of Quantum States from Directed Percolation

Receipt and verification

First computed	2026-07-05T07:56:17.848343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3f3e57b94e046bb72df6d8f18af76b33812e26343ad49dd64429f9d20d372fa

Aliases

arxiv: 2310.10716 · arxiv_version: 2310.10716v2 · doi: 10.48550/arxiv.2310.10716 · pith_short_12: 2PZ6K64U4BDL · pith_short_16: 2PZ6K64U4BDLW4W7 · pith_short_8: 2PZ6K64U

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/2PZ6K64U4BDLW4W7NWHRRL3WWM \
  | 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: d3f3e57b94e046bb72df6d8f18af76b33812e26343ad49dd64429f9d20d372fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f93bc0861743b0fc90e4e672c34c9da38f4184cb648a9dcea95bbaba904b640f",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2023-10-16T18:00:01Z",
    "title_canon_sha256": "5137d1e7eceb9c7be5a904fcc92525c5f5e87bc783c6f7fc66169efa3cf2b3bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.10716",
    "kind": "arxiv",
    "version": 2
  }
}