Pith Number

pith:PUVBKYB6

pith:2020:PUVBKYB66MROM35AXS5W4WD7UE

not attested not anchored not stored refs pending

Probabilistic Zero Forcing on Grid, Regular, and Hypercube Graphs

Alec Sun, David Hu

arxiv:2010.12343 v1 · 2020-10-22 · 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{PUVBKYB66MROM35AXS5W4WD7UE}

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	2026-06-25T00:18:10.252917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d2a15603ef322e66fa0bcbb6e587fa129f55325bc64a647fb936d44edb8bf4a

Aliases

arxiv: 2010.12343 · arxiv_version: 2010.12343v1 · doi: 10.48550/arxiv.2010.12343 · pith_short_12: PUVBKYB66MRO · pith_short_16: PUVBKYB66MROM35A · pith_short_8: PUVBKYB6

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/PUVBKYB66MROM35AXS5W4WD7UE \
  | 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: 7d2a15603ef322e66fa0bcbb6e587fa129f55325bc64a647fb936d44edb8bf4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2899353390782f55386a654bd0de9f9115d05738908f4234b673468d2e7b0b82",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-10-22T03:27:05Z",
    "title_canon_sha256": "331e0f331e0e682d7345c709f485f74f2c693b8ca25d743a523b1609bea39d42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.12343",
    "kind": "arxiv",
    "version": 1
  }
}