Pith Number

pith:WCJD6QBD

pith:2025:WCJD6QBDV6I35RYIJJX3UOONHZ

not attested not anchored not stored refs pending

Multipole phases in a type of spin ladders with local conserved quantities and generalizations

Jianlong Fu

arxiv:2507.04811 v4 · 2025-07-07 · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WCJD6QBDV6I35RYIJJX3UOONHZ}

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	2026-07-07T02:18:25.599967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0923f4023af91bec7084a6fba39cd3e66a26412e227e742e012152184aa5f80

Aliases

arxiv: 2507.04811 · arxiv_version: 2507.04811v4 · doi: 10.48550/arxiv.2507.04811 · pith_short_12: WCJD6QBDV6I3 · pith_short_16: WCJD6QBDV6I35RYI · pith_short_8: WCJD6QBD

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/WCJD6QBDV6I35RYIJJX3UOONHZ \
  | 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: b0923f4023af91bec7084a6fba39cd3e66a26412e227e742e012152184aa5f80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "509a7652c1bd9daf3f4c2142149dfb62fa8f3e2289710c821b96cdcc74f64caa",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2025-07-07T09:28:43Z",
    "title_canon_sha256": "6c17ee69add44e82364b1662a5d68ab8f5b2c2b3755be576431938235b89b20c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.04811",
    "kind": "arxiv",
    "version": 4
  }
}