Pith Number

pith:YXPHW7ON

pith:2021:YXPHW7ONOZSL643MRXR5L47NO7

not attested not anchored not stored refs pending

Algorithms for reachability problems on stochastic Markov reward models

Irfan Muhammad

arxiv:2108.09830 v2 · 2021-08-22 · math.NA · cs.LO · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YXPHW7ONOZSL643MRXR5L47NO7}

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	2026-07-05T04:48:07.800704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5de7b7dcd7664bf736c8de3d5f3ed77eb79d711165e6cf0166667126f7fd920

Aliases

arxiv: 2108.09830 · arxiv_version: 2108.09830v2 · doi: 10.48550/arxiv.2108.09830 · pith_short_12: YXPHW7ONOZSL · pith_short_16: YXPHW7ONOZSL643M · pith_short_8: YXPHW7ON

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/YXPHW7ONOZSL643MRXR5L47NO7 \
  | 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: c5de7b7dcd7664bf736c8de3d5f3ed77eb79d711165e6cf0166667126f7fd920

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b26a8dcf08e566f3e6573d73d5a028f7f71a3689e19bba61b73bac8af0b0e4e1",
    "cross_cats_sorted": [
      "cs.LO",
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-08-22T20:32:03Z",
    "title_canon_sha256": "e5d11a47a06f94692745b4b3e693c602770e60955d8ff5aed3c230facac2c409"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.09830",
    "kind": "arxiv",
    "version": 2
  }
}