Pith Number

pith:QH7RQNPK

pith:2026:QH7RQNPKF5T5WRUIQIAWRKLVQN

not attested not anchored not stored refs pending

Topologically Enforced Lifshitz Multicriticality in One Dimension

Kuang-Hung Chou, Xue-Jia Yu

arxiv:2606.07380 v1 · 2026-06-05 · cond-mat.stat-mech · 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{QH7RQNPKF5T5WRUIQIAWRKLVQN}

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	2026-06-08T01:05:23.578342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81ff1835ea2f67db4688820168a9758342c06b1d45b4728b286d220aadc3bc1a

Aliases

arxiv: 2606.07380 · arxiv_version: 2606.07380v1 · doi: 10.48550/arxiv.2606.07380 · pith_short_12: QH7RQNPKF5T5 · pith_short_16: QH7RQNPKF5T5WRUI · pith_short_8: QH7RQNPK

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/QH7RQNPKF5T5WRUIQIAWRKLVQN \
  | 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: 81ff1835ea2f67db4688820168a9758342c06b1d45b4728b286d220aadc3bc1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8f232d2f0257afcc29c8812a3d5ac74db86b845d7dbac0e954f7ceae80dc6d6",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-06-05T15:21:03Z",
    "title_canon_sha256": "7cd3e602da4de72fde56cc9a94462fd0bd11435da7600076e130d2fadb915515"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07380",
    "kind": "arxiv",
    "version": 1
  }
}