Pith Number

pith:EYPSKSPV

pith:2025:EYPSKSPVFPH3CVVDTVYBYE3DCS

not attested not anchored not stored refs pending

Sustainable Water Treatment through Fractional-Order Chemostat Modeling with Sliding Memory and Periodic Boundary Conditions: A Mathematical Framework for Clean Water and Sanitation

Kareem T. Elgindy

arxiv:2506.04420 v3 · 2025-06-04 · math.OC · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EYPSKSPVFPH3CVVDTVYBYE3DCS}

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	2026-07-05T11:25:11.767607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

261f2549f52bcfb156a39d701c136314954d712df935679c6f2b296051717ce5

Aliases

arxiv: 2506.04420 · arxiv_version: 2506.04420v3 · doi: 10.48550/arxiv.2506.04420 · pith_short_12: EYPSKSPVFPH3 · pith_short_16: EYPSKSPVFPH3CVVD · pith_short_8: EYPSKSPV

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/EYPSKSPVFPH3CVVDTVYBYE3DCS \
  | 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: 261f2549f52bcfb156a39d701c136314954d712df935679c6f2b296051717ce5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73fc7bc06acfa677a98a77628a48fdbd93ca57c7073639874954d0b5d0fcdd33",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-06-04T20:02:57Z",
    "title_canon_sha256": "051d993aa44fdb1352bab012577be0548d174e3ce3045b509d3b718029004ce6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.04420",
    "kind": "arxiv",
    "version": 3
  }
}