Pith Number

pith:G4QDRWU4

pith:2026:G4QDRWU4Y6MMA2TUFAPF7AFTBW

not attested not anchored not stored refs pending

ChromOps.jl: High-order simulation and discrete forward sensitivity analysis for chromatography models

Christopher Rackauckas, Kristian Meyer, Maksym Ratajczyk

arxiv:2608.06131 v1 · 2026-08-06 · 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{G4QDRWU4Y6MMA2TUFAPF7AFTBW}

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	2026-08-07T01:40:36.579983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

372038da9cc798c06a74281e5f80b30d840d97b715005a08d7a50a23ecac9fa0

Aliases

arxiv: 2608.06131 · arxiv_version: 2608.06131v1 · doi: 10.48550/arxiv.2608.06131 · pith_short_12: G4QDRWU4Y6MM · pith_short_16: G4QDRWU4Y6MMA2TU · pith_short_8: G4QDRWU4

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/G4QDRWU4Y6MMA2TUFAPF7AFTBW \
  | 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: 372038da9cc798c06a74281e5f80b30d840d97b715005a08d7a50a23ecac9fa0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f4b6013a41a586e57ed53e796b5c8fca9c2e26a17619b4a8dcc646d3eab982e",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-08-06T15:05:43Z",
    "title_canon_sha256": "a6fc64d9f1439a8a63036aadacb4bf758d13d47e2dc2500a0c22d4fb85ea2bed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.06131",
    "kind": "arxiv",
    "version": 1
  }
}