Pith Number

pith:GM2SH3LZ

pith:2015:GM2SH3LZHXWD5CW2VGVHR7BXBD

not attested not anchored not stored refs pending

Computational Optimal Control of the Saint-Venant PDE Model Using the Time-scaling Technique

Chao Xu, Tehuan Chen

arxiv:1510.09021 v1 · 2015-10-30 · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GM2SH3LZHXWD5CW2VGVHR7BXBD}

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	2026-05-18T01:28:23.483430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

333523ed793dec3e8adaa9aa78fc3708eb9d3adf3096dad9c37b6f3ed2f304a5

Aliases

arxiv: 1510.09021 · arxiv_version: 1510.09021v1 · doi: 10.48550/arxiv.1510.09021 · pith_short_12: GM2SH3LZHXWD · pith_short_16: GM2SH3LZHXWD5CW2 · pith_short_8: GM2SH3LZ

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/GM2SH3LZHXWD5CW2VGVHR7BXBD \
  | 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: 333523ed793dec3e8adaa9aa78fc3708eb9d3adf3096dad9c37b6f3ed2f304a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cd38399234864e6f516bf06ef96dfb18bac3b5d58613583306768d974e5f74a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2015-10-30T09:27:49Z",
    "title_canon_sha256": "6ed3077b2e944657cdffe29dfcc65f7c7366f5ec131a0f9a26a74112a1a07a4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.09021",
    "kind": "arxiv",
    "version": 1
  }
}