Pith Number

pith:CXQ7RRQP

pith:2020:CXQ7RRQPGMQSO7IW27ESK6MMYI

not attested not anchored not stored refs pending

Localization, phases and transitions in the three-dimensional extended Lieb lattices

Jianxin Zhong, Jie Liu, Rudolf A. R\"omer, Xiaoyu Mao

arxiv:2004.08042 v1 · 2020-04-17 · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CXQ7RRQPGMQSO7IW27ESK6MMYI}

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	2026-07-05T01:55:09.309298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15e1f8c60f3321277d16d7c925798cc2081cde3fe9ea35cbda2955d2b00a41e9

Aliases

arxiv: 2004.08042 · arxiv_version: 2004.08042v1 · doi: 10.48550/arxiv.2004.08042 · pith_short_12: CXQ7RRQPGMQS · pith_short_16: CXQ7RRQPGMQSO7IW · pith_short_8: CXQ7RRQP

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/CXQ7RRQPGMQSO7IW27ESK6MMYI \
  | 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: 15e1f8c60f3321277d16d7c925798cc2081cde3fe9ea35cbda2955d2b00a41e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c681d004db59a20d34ec0bbf9f9d9ef707a496093c31f7d54c793d25acc4337",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2020-04-17T02:54:57Z",
    "title_canon_sha256": "a9b07aa0d90a986635127c5f2dd88f1a5422ebc57fd243f3af20be68fa72bf77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.08042",
    "kind": "arxiv",
    "version": 1
  }
}