Pith Number

pith:7SYJIB6B

pith:2013:7SYJIB6BNGIMRYAEJJPEVZU2GQ

not attested not anchored not stored refs pending

On the minimum order of k-cop-win graphs

Aaron Maurer, Andrew Beveridge, Anthony Bonato, John McCauley, Paolo Codenotti, Silviya Valeva, William Baird

arxiv:1308.2841 v1 · 2013-08-13 · 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{7SYJIB6BNGIMRYAEJJPEVZU2GQ}

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	2026-05-18T03:15:58.387331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcb09407c16990c8e0044a5e4ae69a34175df6e8c99abf4a94c5297d41441d8f

Aliases

arxiv: 1308.2841 · arxiv_version: 1308.2841v1 · doi: 10.48550/arxiv.1308.2841 · pith_short_12: 7SYJIB6BNGIM · pith_short_16: 7SYJIB6BNGIMRYAE · pith_short_8: 7SYJIB6B

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/7SYJIB6BNGIMRYAEJJPEVZU2GQ \
  | 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: fcb09407c16990c8e0044a5e4ae69a34175df6e8c99abf4a94c5297d41441d8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "847d1826d05bff521224c7c561dcaeb0adb8a16767e08f75d066957ad52b93ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-13T12:42:44Z",
    "title_canon_sha256": "c75965edd8984f0dcbfbe226b44ea86257241ef5f4e5e9e5941ce83831e63b5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2841",
    "kind": "arxiv",
    "version": 1
  }
}