Pith Number

pith:X4SNCLZE

pith:2025:X4SNCLZEOIKZZMFHWYG3B3VSMC

not attested not anchored not stored refs pending

On Fragile Power Domination

Amanda Verga, Beth Bjorkman, Johnathan Koch, Sean English

arxiv:2507.14620 v1 · 2025-07-19 · 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{X4SNCLZEOIKZZMFHWYG3B3VSMC}

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	2026-07-05T11:40:10.717135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf24d12f2472159cb0a7b60db0eeb2608866b3b6c726b1cfc3f7167cbce8dc99

Aliases

arxiv: 2507.14620 · arxiv_version: 2507.14620v1 · doi: 10.48550/arxiv.2507.14620 · pith_short_12: X4SNCLZEOIKZ · pith_short_16: X4SNCLZEOIKZZMFH · pith_short_8: X4SNCLZE

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/X4SNCLZEOIKZZMFHWYG3B3VSMC \
  | 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: bf24d12f2472159cb0a7b60db0eeb2608866b3b6c726b1cfc3f7167cbce8dc99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f906b4799125bd7e7457665c7f28e26891f14655728dc6a0e886f067f2b3be3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-19T13:31:01Z",
    "title_canon_sha256": "93619aa2cd3495f2b28f0804415377161cdb8356b1bed487fc0aa69ea115f2e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.14620",
    "kind": "arxiv",
    "version": 1
  }
}