Pith Number

pith:N3Z6LLX5

pith:2022:N3Z6LLX5MPQD2JS5KY3K64SRJP

not attested not anchored not stored refs pending

Quantum phase with coexisting localized, extended, and critical zones

Long Zhang, Ting-Fung Jeffrey Poon, Wei Sun, Xiong-jun Liu, Yucheng Wang

arxiv:2202.06816 v2 · 2022-02-14 · 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{N3Z6LLX5MPQD2JS5KY3K64SRJP}

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	2026-07-05T05:11:37.053532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ef3e5aefd63e03d265d5636af72514bd0bc669be81d7c00249e8281fff61abb

Aliases

arxiv: 2202.06816 · arxiv_version: 2202.06816v2 · doi: 10.48550/arxiv.2202.06816 · pith_short_12: N3Z6LLX5MPQD · pith_short_16: N3Z6LLX5MPQD2JS5 · pith_short_8: N3Z6LLX5

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/N3Z6LLX5MPQD2JS5KY3K64SRJP \
  | 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: 6ef3e5aefd63e03d265d5636af72514bd0bc669be81d7c00249e8281fff61abb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ae1186ac79b93a5c07b90dcf9dd70a6229bcfcfd36e7da958736d6b5743934d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2022-02-14T15:54:43Z",
    "title_canon_sha256": "0216bd4f3220ccb028ea2492f9b3acbe09c2458b88f70946ca0a83d1d4516fe6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.06816",
    "kind": "arxiv",
    "version": 2
  }
}