Pith Number

pith:FXAKSSNI

pith:2015:FXAKSSNIHEVNBIHEOECXFCCRAQ

not attested not anchored not stored refs pending

Optimal Control of a Semidiscrete Cahn-Hilliard-Navier-Stokes System with Non-Matched Fluid Densities

Donat Wegner, Michael Hinterm\"uller, Tobias Keil

arxiv:1506.03591 v1 · 2015-06-11 · math.AP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FXAKSSNIHEVNBIHEOECXFCCRAQ}

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	2026-05-18T01:53:03.739625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dc0a949a8392ad0a0e47105728851043528a85c00e2a2845411c54d402b5628

Aliases

arxiv: 1506.03591 · arxiv_version: 1506.03591v1 · doi: 10.48550/arxiv.1506.03591 · pith_short_12: FXAKSSNIHEVN · pith_short_16: FXAKSSNIHEVNBIHE · pith_short_8: FXAKSSNI

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/FXAKSSNIHEVNBIHEOECXFCCRAQ \
  | 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: 2dc0a949a8392ad0a0e47105728851043528a85c00e2a2845411c54d402b5628

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e21e22d0be888267b40713184595419dd955603ae8bb1e0940b6d36a049d7b0",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-11T09:08:51Z",
    "title_canon_sha256": "53bb9e1e6a9b72949500e72082053dcab40d87f56fe94959844eef0e5352d6d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03591",
    "kind": "arxiv",
    "version": 1
  }
}