Pith Number

pith:Z6WPLSRN

pith:2024:Z6WPLSRNDTHIDPVQQ7CVRDIUOK

not attested not anchored not stored refs pending

Probabilistic Zero Forcing with Vertex Reversion

Zachary Brennan

arxiv:2404.15049 v1 · 2024-04-23 · math.CO · 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{Z6WPLSRNDTHIDPVQQ7CVRDIUOK}

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	2026-07-05T08:11:14.526714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfacf5ca2d1cce81beb087c5588d14729ebb6f0aaf6da9b0eaf1ba59bd21595a

Aliases

arxiv: 2404.15049 · arxiv_version: 2404.15049v1 · doi: 10.48550/arxiv.2404.15049 · pith_short_12: Z6WPLSRNDTHI · pith_short_16: Z6WPLSRNDTHIDPVQ · pith_short_8: Z6WPLSRN

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/Z6WPLSRNDTHIDPVQQ7CVRDIUOK \
  | 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: cfacf5ca2d1cce81beb087c5588d14729ebb6f0aaf6da9b0eaf1ba59bd21595a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d356863d390782561a4a4ab2a678ccf849be8fd81c764b2a14efc409ea739bca",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-04-23T13:49:14Z",
    "title_canon_sha256": "a76e7061bf24ca9367856a6f1f58e4d71915d13ae04a84d7a966f05b704ec965"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.15049",
    "kind": "arxiv",
    "version": 1
  }
}