Pith Number

pith:4GAKK43O

pith:2016:4GAKK43OWSWY5GQUEQO27YHV6R

not attested not anchored not stored refs pending

Solving Reachability Problems by a Scalable Constrained Optimization Method

Jan Kuratko, Stefan Ratschan

arxiv:1611.01051 v3 · 2016-11-03 · 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{4GAKK43OWSWY5GQUEQO27YHV6R}

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	2026-05-18T00:34:42.237989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e180a5736eb4ad8e9a14241dafe0f5f44330a76529cbbc6169f7ce5d253af238

Aliases

arxiv: 1611.01051 · arxiv_version: 1611.01051v3 · doi: 10.48550/arxiv.1611.01051 · pith_short_12: 4GAKK43OWSWY · pith_short_16: 4GAKK43OWSWY5GQU · pith_short_8: 4GAKK43O

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/4GAKK43OWSWY5GQUEQO27YHV6R \
  | 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: e180a5736eb4ad8e9a14241dafe0f5f44330a76529cbbc6169f7ce5d253af238

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c32b668a3a694f915c16ba473c9105f72bcb1d4d41e9bcd202b393faeb3585f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-11-03T14:57:38Z",
    "title_canon_sha256": "8dc8cedde52b40162dc693ea94cf1419e19891ea9003680e15b38e37883c59e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01051",
    "kind": "arxiv",
    "version": 3
  }
}