Pith Number

pith:J7P63OL2

pith:2024:J7P63OL2VMEGPJKSJZEOGCGNHX

not attested not anchored not stored refs pending

Emergent electrostatics in planar XY spin models: the bridge connecting topological order with broken $U(1)$ symmetry

Michael F. Faulkner

arxiv:2412.12186 v2 · 2024-12-13 · cond-mat.stat-mech

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J7P63OL2VMEGPJKSJZEOGCGNHX}

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	2026-07-05T11:16:53.190289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fdfedb97aab0867a5524e48e308cd3dcd942d308f49e61f7a2a72b5a72519c1

Aliases

arxiv: 2412.12186 · arxiv_version: 2412.12186v2 · doi: 10.48550/arxiv.2412.12186 · pith_short_12: J7P63OL2VMEG · pith_short_16: J7P63OL2VMEGPJKS · pith_short_8: J7P63OL2

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/J7P63OL2VMEGPJKSJZEOGCGNHX \
  | 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: 4fdfedb97aab0867a5524e48e308cd3dcd942d308f49e61f7a2a72b5a72519c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29576ace89c2fb25cfd9fd432d32f25abf4a61a64dd4859db8bb797b90c9b914",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2024-12-13T14:23:02Z",
    "title_canon_sha256": "554126ad57a3060fa2c291a96832d6fe3eb676ad5d247a1b521a77a147c8ff01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.12186",
    "kind": "arxiv",
    "version": 2
  }
}