Pith Number

pith:XVMX32NR

pith:2026:XVMX32NR3G67LMDN7LNLYI2FPC

not attested not anchored not stored refs pending

Existence of Solutions for time-dependent fractional Kohn-Sham Equations

J\'er\'emy Faupin, Michele Fantechi, S\'ebastien Breteaux

arxiv:2606.01321 v1 · 2026-05-31 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XVMX32NR3G67LMDN7LNLYI2FPC}

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	2026-06-02T02:04:30.243486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd597de9b1d9bdf5b06dfadabc2345789d5d8c016598e75b873bba6dddfe578c

Aliases

arxiv: 2606.01321 · arxiv_version: 2606.01321v1 · doi: 10.48550/arxiv.2606.01321 · pith_short_12: XVMX32NR3G67 · pith_short_16: XVMX32NR3G67LMDN · pith_short_8: XVMX32NR

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/XVMX32NR3G67LMDN7LNLYI2FPC \
  | 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: bd597de9b1d9bdf5b06dfadabc2345789d5d8c016598e75b873bba6dddfe578c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a6d50f34f1b2f51d515c7d79c4f36569806eef1358e18d565e01ec9c915d9d5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-31T16:12:54Z",
    "title_canon_sha256": "22939e95b3d1e286f2e39cfe7bc4fa1a552efb23d0ff9b05d9dde443e2499f61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.01321",
    "kind": "arxiv",
    "version": 1
  }
}