Pith Number

pith:GKWY6WUD

pith:2026:GKWY6WUDBTIOY3LKILLFG5HPSC

not attested not anchored not stored refs pending

The fractional Porous Medium Equation on graphs

Elvise Berchio, Federico Santagati, Maria Vallarino

arxiv:2606.23360 v1 · 2026-06-22 · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GKWY6WUDBTIOY3LKILLFG5HPSC}

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	2026-06-23T03:14:17.783027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32ad8f5a830cd0ec6d6a42d65374ef9098d3a2962da2a9093b5e537b159a2c95

Aliases

arxiv: 2606.23360 · arxiv_version: 2606.23360v1 · doi: 10.48550/arxiv.2606.23360 · pith_short_12: GKWY6WUDBTIO · pith_short_16: GKWY6WUDBTIOY3LK · pith_short_8: GKWY6WUD

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/GKWY6WUDBTIOY3LKILLFG5HPSC \
  | 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: 32ad8f5a830cd0ec6d6a42d65374ef9098d3a2962da2a9093b5e537b159a2c95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27a1609200ef2e2a1ecc2844c4ac23f1722b898b42e44c00effd6c822c4b9531",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-22T13:59:29Z",
    "title_canon_sha256": "c10f206f21943d7a7cad1e95915b316f914b9234a5c37923b57d4708ce285e6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23360",
    "kind": "arxiv",
    "version": 1
  }
}