Pith Number

pith:OB7RCAYS

pith:2026:OB7RCAYS23EEICAKT6YMOTIRQV

not attested not anchored not stored refs pending

A linear, decoupled and positivity-preserving time-staggered block-centered finite difference method for the multi-species Keller-Segel chemotaxis system

Ao Zhang, Bingyin Zhang, Hongfei Fu

arxiv:2607.00713 v1 · 2026-07-01 · 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{OB7RCAYS23EEICAKT6YMOTIRQV}

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	2026-07-02T01:17:52.392786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

707f110312d6c844080a9fb0c74d11857402c3f19706365287d2627464cb2311

Aliases

arxiv: 2607.00713 · arxiv_version: 2607.00713v1 · doi: 10.48550/arxiv.2607.00713 · pith_short_12: OB7RCAYS23EE · pith_short_16: OB7RCAYS23EEICAK · pith_short_8: OB7RCAYS

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/OB7RCAYS23EEICAKT6YMOTIRQV \
  | 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: 707f110312d6c844080a9fb0c74d11857402c3f19706365287d2627464cb2311

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0eaae2253f296bdef9ec7c3a97a0b146cb3ad3a133240218afde7bc29abd27c3",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-07-01T10:01:54Z",
    "title_canon_sha256": "8c3cdaedb955b37c03992879f1fc5ed2ae9dc7855513bf5ff35156846c773b41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00713",
    "kind": "arxiv",
    "version": 1
  }
}