Pith Number

pith:7BQAL5Q7

pith:2025:7BQAL5Q7KUEEB6RSDZCQ6N45DJ

not attested not anchored not stored refs pending

A posteriori existence for the Keller-Segel model via a finite volume - finite element scheme

Jan Giesselmann, Marc Hoffmann

arxiv:2509.17710 v2 · 2025-09-22 · 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{7BQAL5Q7KUEEB6RSDZCQ6N45DJ}

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	2026-06-04T01:08:32.160955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f86005f61f550840fa321e450f379d1a7ed65e95345e00c1f40e50d75c8cab16

Aliases

arxiv: 2509.17710 · arxiv_version: 2509.17710v2 · doi: 10.48550/arxiv.2509.17710 · pith_short_12: 7BQAL5Q7KUEE · pith_short_16: 7BQAL5Q7KUEEB6RS · pith_short_8: 7BQAL5Q7

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/7BQAL5Q7KUEEB6RSDZCQ6N45DJ \
  | 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: f86005f61f550840fa321e450f379d1a7ed65e95345e00c1f40e50d75c8cab16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ee4392713a964e335c1ac6d00ec9cf750efde22d88a602bc2966e3a885a9268",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-09-22T12:48:16Z",
    "title_canon_sha256": "e22bc321a15748799e9f95dfd1f7bf31efbd8da841fbe37f8bcfa7f7328bdcee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.17710",
    "kind": "arxiv",
    "version": 2
  }
}