Pith Number

pith:VRCIMRDK

pith:2026:VRCIMRDKRGIFANISPFTU34V2BG

not attested not anchored not stored refs pending

Phase diagram of the Kitaev-Heisenberg-$\Gamma$ model: Classical and quantum magnetism, frustration, and subdominant interactions

Kiyu Fukui, Yukitoshi Motome

arxiv:2606.13263 v1 · 2026-06-11 · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VRCIMRDKRGIFANISPFTU34V2BG}

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	2026-06-12T01:09:49.421634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac4486446a899050351279674df2ba098940456010d6ae10c87afb23846a25ce

Aliases

arxiv: 2606.13263 · arxiv_version: 2606.13263v1 · doi: 10.48550/arxiv.2606.13263 · pith_short_12: VRCIMRDKRGIF · pith_short_16: VRCIMRDKRGIFANIS · pith_short_8: VRCIMRDK

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/VRCIMRDKRGIFANISPFTU34V2BG \
  | 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: ac4486446a899050351279674df2ba098940456010d6ae10c87afb23846a25ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "838c59321381b4d469e5eee7daf373f02529d7681711357cda5c71e0605760cd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2026-06-11T12:19:53Z",
    "title_canon_sha256": "eea1221faf5c51161043fcf68b75b997b60565bf8066b8bf9f1bf0bf3cbc9416"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13263",
    "kind": "arxiv",
    "version": 1
  }
}