Pith Number

pith:PRES3VZK

pith:2018:PRES3VZK5RX5G2HWV6X7PEV43Q

not attested not anchored not stored refs pending

Qualitative Reachability for Open Interval Markov Chains

Jeremy Sproston

arxiv:1809.06954 v2 · 2018-09-18 · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PRES3VZK5RX5G2HWV6X7PEV43Q}

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	2026-05-18T00:05:09.032259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c492dd72aec6fd368f6afaff792bcdc1a0667a051628ef6bd46c09263fba98b

Aliases

arxiv: 1809.06954 · arxiv_version: 1809.06954v2 · doi: 10.48550/arxiv.1809.06954 · pith_short_12: PRES3VZK5RX5 · pith_short_16: PRES3VZK5RX5G2HW · pith_short_8: PRES3VZK

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/PRES3VZK5RX5G2HWV6X7PEV43Q \
  | 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: 7c492dd72aec6fd368f6afaff792bcdc1a0667a051628ef6bd46c09263fba98b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51ce71d151bf1e94fd87b98fab51df91c8348046925ceca04c35d3eeba00d26e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2018-09-18T22:12:48Z",
    "title_canon_sha256": "29b06a9c908e26f65f25d7907d0863b33df5eeb751e35b437df5a8f1e460efd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.06954",
    "kind": "arxiv",
    "version": 2
  }
}