Pith Number

pith:W4DHF4YI

pith:2017:W4DHF4YITGSYKOSWW4ZKCESLLA

not attested not anchored not stored refs pending

Unbounded variation and solutions of impulsive control systems

Caterina Sartori, Monica Motta

arxiv:1705.01724 v1 · 2017-05-04 · 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{W4DHF4YITGSYKOSWW4ZKCESLLA}

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	2026-05-18T00:45:04.343060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b70672f30899a5853a56b732a1124b582757370bf860ba84a9dcad0b48092603

Aliases

arxiv: 1705.01724 · arxiv_version: 1705.01724v1 · doi: 10.48550/arxiv.1705.01724 · pith_short_12: W4DHF4YITGSY · pith_short_16: W4DHF4YITGSYKOSW · pith_short_8: W4DHF4YI

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/W4DHF4YITGSYKOSWW4ZKCESLLA \
  | 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: b70672f30899a5853a56b732a1124b582757370bf860ba84a9dcad0b48092603

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1ae139f277875f40f6b729a8f6baa0c93a6b79d2a7d3965c0a03521b14e58e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-05-04T07:33:16Z",
    "title_canon_sha256": "0a402220febef65f82b5a067107287072d4d83c4ce4a90f081bc037cae9ad5ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.01724",
    "kind": "arxiv",
    "version": 1
  }
}