Pith Number

pith:WV5TQKES

pith:2026:WV5TQKES2MIYKI5QJ6FMCVOJJ4

not attested not anchored not stored refs pending

Generalized Space Groups from Internal Configuration Spaces

Gui-Bin Liu, Yugui Yao, Zeying Zhang, Zhenye Li, Zhi-Ming Yu

arxiv:2608.03808 v1 · 2026-08-04 · 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{WV5TQKES2MIYKI5QJ6FMCVOJJ4}

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	2026-08-05T01:37:10.239275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b57b382892d3118523b04f8ac155c94f3ac251e4d5d0a7928aa846763d96afb1

Aliases

arxiv: 2608.03808 · arxiv_version: 2608.03808v1 · doi: 10.48550/arxiv.2608.03808 · pith_short_12: WV5TQKES2MIY · pith_short_16: WV5TQKES2MIYKI5Q · pith_short_8: WV5TQKES

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/WV5TQKES2MIYKI5QJ6FMCVOJJ4 \
  | 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: b57b382892d3118523b04f8ac155c94f3ac251e4d5d0a7928aa846763d96afb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9600b9d34fe78044b9d52d528b93d02e8cca5e7ca065e982ce40edea288cb94a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2026-08-04T15:19:52Z",
    "title_canon_sha256": "6fcaf6160249f567bee3c251fb9ab7be44b4d5f7c0bc492bce45b66842c10b25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.03808",
    "kind": "arxiv",
    "version": 1
  }
}