Pith Number

pith:IANITATJ

pith:2026:IANITATJ7CJBQCZQM655PWV7CL

not attested not anchored not stored refs pending

Spin layer groups and their corepresentations

Gui-Bin Liu, Mu Tian, Run-Wu Zhang, Yugui Yao, Zeying Zhang, Zhi-Ming Yu

arxiv:2605.25484 v1 · 2026-05-25 · cond-mat.mtrl-sci

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IANITATJ7CJBQCZQM655PWV7CL}

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	2026-05-26T02:04:38.665141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

401a898269f892180b3067bbd7dabf12cc6954b6d92e5882591b0b6c48d7147f

Aliases

arxiv: 2605.25484 · arxiv_version: 2605.25484v1 · doi: 10.48550/arxiv.2605.25484 · pith_short_12: IANITATJ7CJB · pith_short_16: IANITATJ7CJBQCZQ · pith_short_8: IANITATJ

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/IANITATJ7CJBQCZQM655PWV7CL \
  | 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: 401a898269f892180b3067bbd7dabf12cc6954b6d92e5882591b0b6c48d7147f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f64de3ad76b6c3b3be91f9115358c22f7f58efc119325a95ddf078702d7725d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2026-05-25T06:39:28Z",
    "title_canon_sha256": "df9157c085abf065c28576f8547a3feab92a30f3aa49a0dc71137414c7387d45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.25484",
    "kind": "arxiv",
    "version": 1
  }
}