Pith Number

pith:4U5BD23O

pith:2026:4U5BD23ONCWGNPY4ACKVUDWRKN

not attested not anchored not stored refs pending

Singular band Induced by Long-Range Interaction Enables Unsplit Spreading of Localized Excitations

Jian-Feng Wu, Yi Huang, Yu-Xiang Zhang

arxiv:2601.15752 v2 · 2026-01-22 · 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{4U5BD23ONCWGNPY4ACKVUDWRKN}

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	2026-05-20T00:05:40.785005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e53a11eb6e68ac66bf1c00955a0ed1536e36037808993e14d538806bf8d95150

Aliases

arxiv: 2601.15752 · arxiv_version: 2601.15752v2 · doi: 10.48550/arxiv.2601.15752 · pith_short_12: 4U5BD23ONCWG · pith_short_16: 4U5BD23ONCWGNPY4 · pith_short_8: 4U5BD23O

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/4U5BD23ONCWGNPY4ACKVUDWRKN \
  | 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: e53a11eb6e68ac66bf1c00955a0ed1536e36037808993e14d538806bf8d95150

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "015eadb5ffd2f3037137eb3d344925ccf60977ab876d6ad9893c5af4f49708c2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-01-22T08:24:57Z",
    "title_canon_sha256": "95076e772b08ef89183d548cd84313c8c712b6769449645c90ad066eaf66bdfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.15752",
    "kind": "arxiv",
    "version": 2
  }
}