Pith Number

pith:J6KCIIGB

pith:2025:J6KCIIGBYBRL5KSNKNTWBJNJNA

not attested not anchored not stored refs pending

Maximum Bound Principle and Bound Preserving ETD schemes for a Phase-Field Model of Tumor Growth with Extracellular Matrix Degradation

Cheng Wang, Huiting Yang, Qiumei Huang, Zhonghua Qiao

arxiv:2503.18699 v1 · 2025-03-24 · 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{J6KCIIGBYBRL5KSNKNTWBJNJNA}

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	2026-07-05T10:38:25.232693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f942420c1c062beaa4d536760a5a968160b4fe5b01164dbc37e604dc4068dde

Aliases

arxiv: 2503.18699 · arxiv_version: 2503.18699v1 · doi: 10.48550/arxiv.2503.18699 · pith_short_12: J6KCIIGBYBRL · pith_short_16: J6KCIIGBYBRL5KSN · pith_short_8: J6KCIIGB

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/J6KCIIGBYBRL5KSNKNTWBJNJNA \
  | 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: 4f942420c1c062beaa4d536760a5a968160b4fe5b01164dbc37e604dc4068dde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7d8444faaa7f889913fffb72df0805e87efe55a0743504705cb072979426cf7",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-03-24T14:11:31Z",
    "title_canon_sha256": "f5a604ace60c31c4f72482387ae630208cc5ce55e38bc9098eee4a7e7cd04960"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.18699",
    "kind": "arxiv",
    "version": 1
  }
}