Pith Number

pith:BZT3CGKN

pith:2026:BZT3CGKNBBLP5YU4N4VB5E4CVD

not attested not anchored not stored refs pending

Structure-preserving upwind DG scheme for a Cahn-Hilliard-Darcy model of tumor growth

Daniel Acosta-Soba, Francisco Guill\'en-Gonz\'alez, J. Rafael Rodr\'iguez-Galv\'an

arxiv:2605.21716 v1 · 2026-05-20 · 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{BZT3CGKNBBLP5YU4N4VB5E4CVD}

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	2026-05-22T01:03:29.130474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e67b1194d0856fee29c6f2a1e9382a8d11fb358d5eb5db19219f9b58e8dac9b

Aliases

arxiv: 2605.21716 · arxiv_version: 2605.21716v1 · doi: 10.48550/arxiv.2605.21716 · pith_short_12: BZT3CGKNBBLP · pith_short_16: BZT3CGKNBBLP5YU4 · pith_short_8: BZT3CGKN

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/BZT3CGKNBBLP5YU4N4VB5E4CVD \
  | 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: 0e67b1194d0856fee29c6f2a1e9382a8d11fb358d5eb5db19219f9b58e8dac9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c612d940b23d4113728da432eed424d6fc7ac96d83934407a2c63c9755232924",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-05-20T20:22:37Z",
    "title_canon_sha256": "64ffe1368ec9384529fc0fd614cb859757e5ae0643b38e47d9c7d7afb386dcbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21716",
    "kind": "arxiv",
    "version": 1
  }
}