Pith Number

pith:CEADOST7

pith:2026:CEADOST72NQEDN64ZTKE4OJI2T

not attested not anchored not stored refs pending

Complete Hierarchy of Nonrelativistic Odd-Parity Spin Splitting in Collinear Magnets

Cheng-Cheng Liu, Junxi Yu, Pu Zhang, Yichen Liu

arxiv:2607.19303 v1 · 2026-07-21 · cond-mat.mtrl-sci · cond-mat.mes-hall

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CEADOST72NQEDN64ZTKE4OJI2T}

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	2026-07-22T01:24:35.467553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1100374a7fd36041b7dcccd44e3928d4c1a89996b4b4303824bf8741f7c0719c

Aliases

arxiv: 2607.19303 · arxiv_version: 2607.19303v1 · doi: 10.48550/arxiv.2607.19303 · pith_short_12: CEADOST72NQE · pith_short_16: CEADOST72NQEDN64 · pith_short_8: CEADOST7

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/CEADOST72NQEDN64ZTKE4OJI2T \
  | 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: 1100374a7fd36041b7dcccd44e3928d4c1a89996b4b4303824bf8741f7c0719c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ad9fc1673afbb688c422f659c8c7e4d22613cb292e9a6aba31bb3bb1a86e7e4",
    "cross_cats_sorted": [
      "cond-mat.mes-hall"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2026-07-21T17:15:03Z",
    "title_canon_sha256": "df0a1285e03e2d270ff6b997d3175f0815e0573a0b625b030b8f146f5ba3b1e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19303",
    "kind": "arxiv",
    "version": 1
  }
}