Pith Number

pith:7VVQ5MQP

pith:2025:7VVQ5MQP7NIJSH23SAFAVBPCWW

not attested not anchored not stored refs pending

Keffer-like form of the symmetric Heisenberg exchange integral: Contribution to the Landau--Lifshitz--Gilbert equation and spin wave dispersion dependence

Pavel A. Andreev

arxiv:2512.22108 v2 · 2025-12-26 · cond-mat.mtrl-sci

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7VVQ5MQP7NIJSH23SAFAVBPCWW}

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.

Cited by

2 papers in Pith

Topological charge, helicity and vorticity conservation and the reverse spin-current model in the II-nd type multifferoics

Spin-current model of electric polarization with the tensor gyromagnetic ratio

Receipt and verification

First computed	2026-07-14T01:20:50.349013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd6b0eb20ffb50991f5b900a0a85e2b5be0cae25dfe82524fadcb3e72c333e64

Aliases

arxiv: 2512.22108 · arxiv_version: 2512.22108v2 · doi: 10.48550/arxiv.2512.22108 · pith_short_12: 7VVQ5MQP7NIJ · pith_short_16: 7VVQ5MQP7NIJSH23 · pith_short_8: 7VVQ5MQP

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/7VVQ5MQP7NIJSH23SAFAVBPCWW \
  | 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: fd6b0eb20ffb50991f5b900a0a85e2b5be0cae25dfe82524fadcb3e72c333e64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cb4a3f8f16cdf84ca6c8cb374503109d08948f7a6b5f7d85efaa6a95f54abf8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2025-12-26T18:34:51Z",
    "title_canon_sha256": "dec742a0a782794516c1d1b36184109055a1fa2c6416e6da98b39f27ec1d6df3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.22108",
    "kind": "arxiv",
    "version": 2
  }
}