Pith Number

pith:PR7TWOTJ

pith:2026:PR7TWOTJAZWKOEWFSOV424DFR7

not attested not anchored not stored refs pending

Competing anisotropies and phase transitions in the $q$-state clock model with a $p$-fold crystalline field

Milan \v{Z}ukovi\v{c}

arxiv:2605.20990 v1 · 2026-05-20 · 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{PR7TWOTJAZWKOEWFSOV424DFR7}

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	2026-05-21T01:05:31.286882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c7f3b3a69066ca712c593abcd70658fdc0ecdb47b39fdcf8fc0c71bc30a614f

Aliases

arxiv: 2605.20990 · arxiv_version: 2605.20990v1 · doi: 10.48550/arxiv.2605.20990 · pith_short_12: PR7TWOTJAZWK · pith_short_16: PR7TWOTJAZWKOEWF · pith_short_8: PR7TWOTJ

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/PR7TWOTJAZWKOEWFSOV424DFR7 \
  | 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: 7c7f3b3a69066ca712c593abcd70658fdc0ecdb47b39fdcf8fc0c71bc30a614f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4b6e4ac43c27dcc1ef4e4f226bd71c6a963d671a40671a48ac39d5afe0f51d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-05-20T10:26:02Z",
    "title_canon_sha256": "971d4236bc21bdb479aeae04437128cdfcbf5d4540ddd3c553cea1e850c6c41a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20990",
    "kind": "arxiv",
    "version": 1
  }
}