Pith Number

pith:BRBQM7VL

pith:2016:BRBQM7VLR4MSPPPBJDOTG6VMN3

not attested not anchored not stored refs pending

Mixed-Integer Programming for Cycle Detection in Non-reversible Markov Processes

Ambros Gleixner, Andreas Grever, Isabel Beckenbach, Jakob Witzig, Konstantin Fackeldey, Leon Eifler, Marcus Weber

arxiv:1609.02063 v1 · 2016-09-06 · cs.DS · math.DS · 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{BRBQM7VLR4MSPPPBJDOTG6VMN3}

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	2026-05-18T01:04:53.139752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c43067eab8f1927bde148dd337aac6ef7eea389c29e787d84fb5c0717c78f3d

Aliases

arxiv: 1609.02063 · arxiv_version: 1609.02063v1 · doi: 10.48550/arxiv.1609.02063 · pith_short_12: BRBQM7VLR4MS · pith_short_16: BRBQM7VLR4MSPPPB · pith_short_8: BRBQM7VL

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/BRBQM7VLR4MSPPPBJDOTG6VMN3 \
  | 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: 0c43067eab8f1927bde148dd337aac6ef7eea389c29e787d84fb5c0717c78f3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8ae6ece74138fb2680b71bf873c661a8d8ad9a2a0174df351a7c978b3ee0fb9",
    "cross_cats_sorted": [
      "math.DS",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-09-06T07:34:42Z",
    "title_canon_sha256": "90effaed474ba1ce5af4e3a9c979fff351c1dcdaf062d423af2cb012707ca39a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02063",
    "kind": "arxiv",
    "version": 1
  }
}