Pith Number

pith:E4AIQYX4

pith:2026:E4AIQYX43Y3IRYBCBLDDTP2S2S

not attested not anchored not stored refs pending

On $hp$-adaptive Structure-Preservion for the Cahn--Hilliard--Navier--Stokes Equations with Degenerate Mobility

Jimmy Kornelije Gunnarsson, Robert Kl\"ofkorn

arxiv:2602.22861 v3 · 2026-02-26 · math.NA · cs.NA · 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{E4AIQYX43Y3IRYBCBLDDTP2S2S}

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	2026-07-14T02:21:30.158936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27008862fcde3688e0220ac639bf52d4a0916d384959776854b01dd77ed94daf

Aliases

arxiv: 2602.22861 · arxiv_version: 2602.22861v3 · doi: 10.48550/arxiv.2602.22861 · pith_short_12: E4AIQYX43Y3I · pith_short_16: E4AIQYX43Y3IRYBC · pith_short_8: E4AIQYX4

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/E4AIQYX43Y3IRYBCBLDDTP2S2S \
  | 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: 27008862fcde3688e0220ac639bf52d4a0916d384959776854b01dd77ed94daf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8efbd63861cef19038b7c6037b921d9cc05ae8615f7ac9788576e36d79ba756c",
    "cross_cats_sorted": [
      "cs.NA",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-02-26T10:55:43Z",
    "title_canon_sha256": "bfb38288f86eb171c100dfe6853d538bb91b27e337264d98f861511f522dbe33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.22861",
    "kind": "arxiv",
    "version": 3
  }
}