Pith Number

pith:3OQV6PIW

pith:2007:3OQV6PIWBZO2SGOOQI7D2FJ6EU

not attested not anchored not stored refs pending

A Direct Matrix Method for Computing Analytical Jacobians of Discretized Nonlinear Integro-differential Equations

Kevin T. Chu

arxiv:math/0702116 v2 · 2007-02-05 · math.NA · cs.CE · 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{3OQV6PIWBZO2SGOOQI7D2FJ6EU}

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	2026-06-03T22:06:21.974519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dba15f3d160e5da919ce823e3d153e252db9be0a4199ba5cd9a6de8cebe2a490

Aliases

arxiv: math/0702116 · arxiv_version: math/0702116v2 · doi: 10.48550/arxiv.math/0702116 · pith_short_12: 3OQV6PIWBZO2 · pith_short_16: 3OQV6PIWBZO2SGOO · pith_short_8: 3OQV6PIW

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/3OQV6PIWBZO2SGOOQI7D2FJ6EU \
  | 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: dba15f3d160e5da919ce823e3d153e252db9be0a4199ba5cd9a6de8cebe2a490

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1b57913375e21b6739d3f0ca5dfbab7b06eeae84c31e1d5de8c6ceaa7bcb3a9",
    "cross_cats_sorted": [
      "cs.CE",
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2007-02-05T19:03:57Z",
    "title_canon_sha256": "d6addf46776f7a20dd1091dbf139f769e23c8e6ff589db0ed765e049688b2fe2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702116",
    "kind": "arxiv",
    "version": 2
  }
}