Pith Number

pith:GY5JD4ES

pith:2026:GY5JD4ESNUXJJTDU54VSB4UGNK

not attested not anchored not stored refs pending

Magnetic long-range order at finite temperature in two-dimensional hyperbolic lattices

Alexander Hickey, Joseph Maciejko

arxiv:2606.27422 v1 · 2026-06-25 · 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{GY5JD4ESNUXJJTDU54VSB4UGNK}

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	2026-06-29T00:14:05.518337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

363a91f0926d2e94cc74ef2b20f2866a9d14dc10ebb75de8739ba3094a468415

Aliases

arxiv: 2606.27422 · arxiv_version: 2606.27422v1 · doi: 10.48550/arxiv.2606.27422 · pith_short_12: GY5JD4ESNUXJ · pith_short_16: GY5JD4ESNUXJJTDU · pith_short_8: GY5JD4ES

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/GY5JD4ESNUXJJTDU54VSB4UGNK \
  | 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: 363a91f0926d2e94cc74ef2b20f2866a9d14dc10ebb75de8739ba3094a468415

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbf6b986794ce8f9fa84450c8a5fc33e1e72255ef3e5aacd9ba831850e25bc39",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2026-06-25T18:00:01Z",
    "title_canon_sha256": "b2246ff71c2ee3cde740ce43f9ea130effe37fc92cb3840cae780500d35a0291"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27422",
    "kind": "arxiv",
    "version": 1
  }
}