Pith Number

pith:Z4GFCM2A

pith:2021:Z4GFCM2A5RXUETELWB4S3SSN4D

not attested not anchored not stored refs pending

Frustrated spin-$\frac{1}{2}$ Heisenberg magnet on an $AA$-stacked honeycomb bilayer: High-order study of the collinear magnetic phases of the $J_{1}$--$J_{2}$--$J_{1}^{\perp}$ model

P. H. Y. Li, R. F. Bishop

arxiv:2109.14390 v2 · 2021-09-29 · 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{Z4GFCM2A5RXUETELWB4S3SSN4D}

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	2026-07-05T06:54:59.186301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf0c513340ec6f424c8bb0792dca4de0fde3811645317ced08047683c9e7401d

Aliases

arxiv: 2109.14390 · arxiv_version: 2109.14390v2 · doi: 10.48550/arxiv.2109.14390 · pith_short_12: Z4GFCM2A5RXU · pith_short_16: Z4GFCM2A5RXUETEL · pith_short_8: Z4GFCM2A

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/Z4GFCM2A5RXUETELWB4S3SSN4D \
  | 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: cf0c513340ec6f424c8bb0792dca4de0fde3811645317ced08047683c9e7401d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22c6f8cb4decc6d651d3d656926eacbec954ede7ec9c46771f6c3237c4a99bdb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2021-09-29T12:48:59Z",
    "title_canon_sha256": "da97c0284dfc1c714b018dc8899a66353c695d4f2b1b4ea072dc0dd8bfb6718f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.14390",
    "kind": "arxiv",
    "version": 2
  }
}