Pith Number

pith:VHAOQWKO

pith:2026:VHAOQWKOZTCTNFQHQFUQHZM6CJ

not attested not anchored not stored refs pending

Rigorous extension of semilocal collinear functionals to noncollinear DFT using $SU(2)$ rotations

Konstantin Gaul

arxiv:2605.31203 v1 · 2026-05-29 · physics.chem-ph · cond-mat.mtrl-sci · physics.comp-ph · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VHAOQWKOZTCTNFQHQFUQHZM6CJ}

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	2026-06-01T01:04:03.632564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9c0e8594eccc5369607816903e59e124e5741c9a462a367d7dcee881175f88d

Aliases

arxiv: 2605.31203 · arxiv_version: 2605.31203v1 · doi: 10.48550/arxiv.2605.31203 · pith_short_12: VHAOQWKOZTCT · pith_short_16: VHAOQWKOZTCTNFQH · pith_short_8: VHAOQWKO

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/VHAOQWKOZTCTNFQHQFUQHZM6CJ \
  | 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: a9c0e8594eccc5369607816903e59e124e5741c9a462a367d7dcee881175f88d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "849e4cf1b65b0e714cc823bf1fbd7f2f5199d7fbe4a09d3f7c52d34483d54329",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci",
      "physics.comp-ph",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "physics.chem-ph",
    "submitted_at": "2026-05-29T12:09:02Z",
    "title_canon_sha256": "2d677e3f541047040086420060e4146633ff2090f1b6ae8c53f08cf628069e94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.31203",
    "kind": "arxiv",
    "version": 1
  }
}