Pith Number

pith:VDAXTRPI

pith:2018:VDAXTRPIDVZLQ7UBJOTM4XMPN6

not attested not anchored not stored refs pending

A Pseudospectral Approach to High Index DAE Optimal Control Problems

Harleigh C. Marsh, Mark Karpenko, Qi Gong

arxiv:1811.12582 v1 · 2018-11-30 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VDAXTRPIDVZLQ7UBJOTM4XMPN6}

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	2026-05-17T23:59:29.203085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8c179c5e81d72b87e814ba6ce5d8f6faa60d5d27a0f626d86c057fb364bca9d

Aliases

arxiv: 1811.12582 · arxiv_version: 1811.12582v1 · doi: 10.48550/arxiv.1811.12582 · pith_short_12: VDAXTRPIDVZL · pith_short_16: VDAXTRPIDVZLQ7UB · pith_short_8: VDAXTRPI

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/VDAXTRPIDVZLQ7UBJOTM4XMPN6 \
  | 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: a8c179c5e81d72b87e814ba6ce5d8f6faa60d5d27a0f626d86c057fb364bca9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a371a52574743512260444313988f430a0fdcbd43b414c710bea4fdf3ec14da9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-11-30T02:10:12Z",
    "title_canon_sha256": "c82bf3e6d731af080354ae95a6c4320c39f957dda8001fc98c561e3fa1025073"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.12582",
    "kind": "arxiv",
    "version": 1
  }
}