Pith Number

pith:BLL7XIG6

pith:2026:BLL7XIG6RWKWAU7WSJJLG6IFBX

not attested not anchored not stored refs pending

Analysis of a Cahn-Hilliard-Canham-Helfrich system for the evolution of a two-phase membrane

Harald Garcke, Mathias Wilke

arxiv:2606.07272 v1 · 2026-06-05 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BLL7XIG6RWKWAU7WSJJLG6IFBX}

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	2026-06-08T01:05:16.918771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ad7fba0de8d956053f69252b379050df96d8cec56100a3d30cc9b42b5c688bf

Aliases

arxiv: 2606.07272 · arxiv_version: 2606.07272v1 · doi: 10.48550/arxiv.2606.07272 · pith_short_12: BLL7XIG6RWKW · pith_short_16: BLL7XIG6RWKWAU7W · pith_short_8: BLL7XIG6

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/BLL7XIG6RWKWAU7WSJJLG6IFBX \
  | 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: 0ad7fba0de8d956053f69252b379050df96d8cec56100a3d30cc9b42b5c688bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7d3fbae3582b4b673c39ed5c19612bfd4846f6baaf79e5b4c3a26c5c0f9ba60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-05T13:48:20Z",
    "title_canon_sha256": "a5d9bccedfd00910edc6de0ea42fe657532a7b1eae755eab975f0978334c5554"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07272",
    "kind": "arxiv",
    "version": 1
  }
}