Pith Number

pith:HY2KATVO

pith:2025:HY2KATVO5XV2CHV7KF66PFSZBI

not attested not anchored not stored refs pending

Free boundary regularity for a tumor growth model with obstacle

Giulia Bevilacqua, Matteo Carducci

arxiv:2507.02837 v2 · 2025-07-03 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HY2KATVO5XV2CHV7KF66PFSZBI}

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.

Cited by

1 paper in Pith

Fine structure of the two-phase Bernoulli free boundaries in 2D

Receipt and verification

First computed	2026-07-05T11:34:11.129059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e34a04eaeedeba11ebf517de796590a157684f8d8432ed61650e3c872c3cb7e

Aliases

arxiv: 2507.02837 · arxiv_version: 2507.02837v2 · doi: 10.48550/arxiv.2507.02837 · pith_short_12: HY2KATVO5XV2 · pith_short_16: HY2KATVO5XV2CHV7 · pith_short_8: HY2KATVO

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/HY2KATVO5XV2CHV7KF66PFSZBI \
  | 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: 3e34a04eaeedeba11ebf517de796590a157684f8d8432ed61650e3c872c3cb7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3d40654801cd002cd456b3875b97028233e0af37c5b146a00196d5d8ba4372b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-03T17:45:46Z",
    "title_canon_sha256": "a9637527e62b29fed031348dbc24c454cb05a446fc4e7dda3d207fd1c1e0830d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.02837",
    "kind": "arxiv",
    "version": 2
  }
}