Pith Number

pith:5V5Q7QRK

pith:2018:5V5Q7QRKS4TB5L2P47LT5NLH3M

not attested not anchored not stored refs pending

Mixing Time of Markov chain of the Knapsack Problem

Carrie Rutherford, Koko K. Kayibi, S. Pirzada

arxiv:1803.06914 v1 · 2018-03-11 · math.CO · cs.DS · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5V5Q7QRKS4TB5L2P47LT5NLH3M}

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	2026-05-18T00:20:40.900763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed7b0fc22a97261eaf4fe7d73eb567db0db14f268a12c12a923560638d7e17e9

Aliases

arxiv: 1803.06914 · arxiv_version: 1803.06914v1 · doi: 10.48550/arxiv.1803.06914 · pith_short_12: 5V5Q7QRKS4TB · pith_short_16: 5V5Q7QRKS4TB5L2P · pith_short_8: 5V5Q7QRK

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/5V5Q7QRKS4TB5L2P47LT5NLH3M \
  | 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: ed7b0fc22a97261eaf4fe7d73eb567db0db14f268a12c12a923560638d7e17e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0797d979746827d44188167d4ef31fb8b573030f431c1750110a5a82621fe399",
    "cross_cats_sorted": [
      "cs.DS",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-03-11T15:14:52Z",
    "title_canon_sha256": "f968f6ac64dbd9997b025be1e9b2b701f66b626de3dc0b8c65c643523fb99f30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.06914",
    "kind": "arxiv",
    "version": 1
  }
}