Pith Number

pith:M5ZEOO4D

pith:2018:M5ZEOO4DVLW6TC6TRFKYFOY32Q

not attested not anchored not stored refs pending

Propagation time for probabilistic zero forcing

Jesse Geneson, Leslie Hogben

arxiv:1812.10476 v1 · 2018-12-24 · math.CO · cs.DM

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M5ZEOO4DVLW6TC6TRFKYFOY32Q}

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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.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-05-17T23:57:20.985383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6772473b83aaede98bd3895582bb1bd435b6db15e73c96eda58ac3a362ea5fa4

Aliases

arxiv: 1812.10476 · arxiv_version: 1812.10476v1 · doi: 10.48550/arxiv.1812.10476 · pith_short_12: M5ZEOO4DVLW6 · pith_short_16: M5ZEOO4DVLW6TC6T · pith_short_8: M5ZEOO4D

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/M5ZEOO4DVLW6TC6TRFKYFOY32Q \
  | 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: 6772473b83aaede98bd3895582bb1bd435b6db15e73c96eda58ac3a362ea5fa4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8e41182c3cf5a7949061c4f22af8768ad80e22d1755eb204d515635d97684af",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-12-24T19:42:50Z",
    "title_canon_sha256": "80cc8d8d14e1330a386a3ff28bc9272cf92d6e1567c9f765e593e11f9667f887"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.10476",
    "kind": "arxiv",
    "version": 1
  }
}