Pith Number

pith:ZACKXM7M

pith:2026:ZACKXM7MZXDGQUGFWGYZQTGGAY

not attested not anchored not stored refs pending

Topological phononics

Feng Gao, Guancong Ma, Jiangxu Li, Jian-Hua Jiang, Li-Wei Wang, Minghui Lu, Qi Wang, Tiantian Zhang, Xingqiu Chen, Xiujuan Zhang, Xulong Wang, Yanfeng Chen, Yizhou Liu, Zeguo Chen, Zhi-Kang Lin

arxiv:2605.20900 v1 · 2026-05-20 · cond-mat.mtrl-sci · physics.app-ph · physics.comp-ph · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZACKXM7MZXDGQUGFWGYZQTGGAY}

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	2026-05-21T01:05:27.109539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c804abb3eccdc66850c5b1b1984cc60626a38f86715abb866f82f3f9908b0c90

Aliases

arxiv: 2605.20900 · arxiv_version: 2605.20900v1 · doi: 10.48550/arxiv.2605.20900 · pith_short_12: ZACKXM7MZXDG · pith_short_16: ZACKXM7MZXDGQUGF · pith_short_8: ZACKXM7M

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/ZACKXM7MZXDGQUGFWGYZQTGGAY \
  | 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: c804abb3eccdc66850c5b1b1984cc60626a38f86715abb866f82f3f9908b0c90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e02e7313885878af1f121f89ca1410cfe348e1a9ea4122341943a3a831b34587",
    "cross_cats_sorted": [
      "physics.app-ph",
      "physics.comp-ph",
      "physics.optics"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2026-05-20T08:42:31Z",
    "title_canon_sha256": "600cb5848a154e2192304b67f7e3f1e049e1ffdea43c15a5ea7bf6e27eb56897"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20900",
    "kind": "arxiv",
    "version": 1
  }
}