pith. sign in
Pith Number

pith:BNNPBT6E

pith:2026:BNNPBT6EUOMJJR5AVWWV3D6ETI
not attested not anchored not stored refs pending

Surface Dean--Kawasaki equations

Ana Djurdjevac, John Bell, Nicolas Perkowski

arxiv:2601.06863 v2 · 2026-01-11 · math.PR · cs.NA · math.NA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{BNNPBT6EUOMJJR5AVWWV3D6ETI}

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

1 paper in Pith

Receipt and verification
First computed 2026-05-21T02:04:57.030176Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0b5af0cfc4a39894c7a0adad5d8fc49a07edfd1759a87bba0d9d1e1a5deb40c4

Aliases

arxiv: 2601.06863 · arxiv_version: 2601.06863v2 · doi: 10.48550/arxiv.2601.06863 · pith_short_12: BNNPBT6EUOMJ · pith_short_16: BNNPBT6EUOMJJR5A · pith_short_8: BNNPBT6E
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/BNNPBT6EUOMJJR5AVWWV3D6ETI \
  | 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: 0b5af0cfc4a39894c7a0adad5d8fc49a07edfd1759a87bba0d9d1e1a5deb40c4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6a9f4a45249f815ea2fbb20711fdb61f97c9986a5128d94f8647eb0ddd0d76bc",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-01-11T11:14:26Z",
    "title_canon_sha256": "8c5c7e6a10ded1f8246ce1a8856dd221360f664407ee5d1a12e423e4800be4b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.06863",
    "kind": "arxiv",
    "version": 2
  }
}