Pith Number

pith:CT3HTA6U

pith:2026:CT3HTA6UJ32WF57I4R5DKF4K7L

not attested not anchored not stored refs pending

A unified energy-stable finite element approximation for evolving fluidic biomembranes

Harald Garcke, Quan Zhao, Robert N\"urnberg

arxiv:2607.05998 v1 · 2026-07-07 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CT3HTA6UJ32WF57I4R5DKF4K7L}

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	2026-07-08T01:18:52.819713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14f67983d44ef562f7e8e47a35178afafa0c177d86300dc5dbf99fd56a18ec60

Aliases

arxiv: 2607.05998 · arxiv_version: 2607.05998v1 · doi: 10.48550/arxiv.2607.05998 · pith_short_12: CT3HTA6UJ32W · pith_short_16: CT3HTA6UJ32WF57I · pith_short_8: CT3HTA6U

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/CT3HTA6UJ32WF57I4R5DKF4K7L \
  | 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: 14f67983d44ef562f7e8e47a35178afafa0c177d86300dc5dbf99fd56a18ec60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a939cc479cc822ba6f16ed6bb1fc01cd2b02ed2fc850ac89ba81850b6a0585b8",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-07-07T08:35:23Z",
    "title_canon_sha256": "94a433edc3716172f6ee961e43cfa11836a1e38d1493e464a3a9c5033fb825c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05998",
    "kind": "arxiv",
    "version": 1
  }
}