Pith Number

pith:6M4MOBSV

pith:2019:6M4MOBSVIEJTTQXYHKNC2IKBFE

not attested not anchored not stored refs pending

Using Markov chains to determine expected propagation time for probabilistic zero forcing

Emelie Curl, Issac Odegard, Jesse Geneson, Kevin Liu, Leslie Hogben, Michael S. Ross, Yu Chan

arxiv:1906.11083 v1 · 2019-06-25 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6M4MOBSVIEJTTQXYHKNC2IKBFE}

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	2026-05-17T23:42:09.898834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f338c70655411339c2f83a9a2d2141290ff70c65d6a4d1e158ed9fe0e02ce72b

Aliases

arxiv: 1906.11083 · arxiv_version: 1906.11083v1 · doi: 10.48550/arxiv.1906.11083 · pith_short_12: 6M4MOBSVIEJT · pith_short_16: 6M4MOBSVIEJTTQXY · pith_short_8: 6M4MOBSV

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/6M4MOBSVIEJTTQXYHKNC2IKBFE \
  | 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: f338c70655411339c2f83a9a2d2141290ff70c65d6a4d1e158ed9fe0e02ce72b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20599cab8edf521d023e9f6b12e5bea85ab458b75252a1abd32a49ffcab688d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-25T16:54:04Z",
    "title_canon_sha256": "8b008a0e2945bd75b0221b40f4d46fa73645ceb89071da6c56d6d16239a6c81d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.11083",
    "kind": "arxiv",
    "version": 1
  }
}