Pith Number

pith:QZCSNGXX

pith:2025:QZCSNGXXDCVEY64P54OOE3XKSZ

not attested not anchored not stored refs pending

A hybrid PDE-ABM model for angiogenesis and tumour microenvironment with application to resistance in cancer treatment

Jiguang Yu, Louis Shuo Wang, Zonghao Liu

arxiv:2505.22580 v1 · 2025-05-28 · 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{QZCSNGXXDCVEY64P54OOE3XKSZ}

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	2026-07-05T11:11:27.078466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8645269af718aa4c7b8fef1ce26eea9647f3cbf56d0eb96e07bdd282e38a7fd0

Aliases

arxiv: 2505.22580 · arxiv_version: 2505.22580v1 · doi: 10.48550/arxiv.2505.22580 · pith_short_12: QZCSNGXXDCVE · pith_short_16: QZCSNGXXDCVEY64P · pith_short_8: QZCSNGXX

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/QZCSNGXXDCVEY64P54OOE3XKSZ \
  | 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: 8645269af718aa4c7b8fef1ce26eea9647f3cbf56d0eb96e07bdd282e38a7fd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4da2040275e9f34e8d1c25af40bdd05187ebd999d33c986d4b439b6cb5c9460b",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-05-28T16:54:29Z",
    "title_canon_sha256": "ab17e573a5b9b4a661d0562114f5d17773aa987dbe1744238ddd75ff34b92f51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.22580",
    "kind": "arxiv",
    "version": 1
  }
}