Pith Number

pith:XAHBGO2H

pith:2026:XAHBGO2HY3EIDBZZN6EH2Y3MMG

not attested not anchored not stored refs pending

Continuous and discontinuous transitions in the Ising-Heisenberg model on the extended Lieb lattice in a magnetic field

David Sivy, Jozef Strecka

arxiv:2606.10821 v1 · 2026-06-09 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XAHBGO2HY3EIDBZZN6EH2Y3MMG}

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	2026-06-10T01:10:42.297410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b80e133b47c6c88187396f887d636c619211962114e70729befa9aeb4d98de2c

Aliases

arxiv: 2606.10821 · arxiv_version: 2606.10821v1 · doi: 10.48550/arxiv.2606.10821 · pith_short_12: XAHBGO2HY3EI · pith_short_16: XAHBGO2HY3EIDBZZ · pith_short_8: XAHBGO2H

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/XAHBGO2HY3EIDBZZN6EH2Y3MMG \
  | 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: b80e133b47c6c88187396f887d636c619211962114e70729befa9aeb4d98de2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebb797d9f9ab397651d7060e0ae50c0631b483ab180b23f1649620a2880d64b5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-06-09T13:02:55Z",
    "title_canon_sha256": "5cc40f98b2990f556372a4ccd5326f89227a599940a3064cbdded60814c87fb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10821",
    "kind": "arxiv",
    "version": 1
  }
}