Pith Number

pith:MSYIWWCK

pith:2011:MSYIWWCKWJXTSTS2HGJN5HQPOM

not attested not anchored not stored refs pending

Complexity of Bondage and Reinforcement

Fu-Tao Hu, Jun-Ming Xu

arxiv:1109.1657 v1 · 2011-09-08 · math.CO · cs.CC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MSYIWWCKWJXTSTS2HGJN5HQPOM}

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	2026-05-18T04:13:54.656207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64b08b584ab26f394e5a3992de9e0f732ef1731d655c88b70ae3577080f30ad3

Aliases

arxiv: 1109.1657 · arxiv_version: 1109.1657v1 · doi: 10.48550/arxiv.1109.1657 · pith_short_12: MSYIWWCKWJXT · pith_short_16: MSYIWWCKWJXTSTS2 · pith_short_8: MSYIWWCK

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/MSYIWWCKWJXTSTS2HGJN5HQPOM \
  | 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: 64b08b584ab26f394e5a3992de9e0f732ef1731d655c88b70ae3577080f30ad3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "101ee2b3d1d86fd9f14615df4bda3bf206c4fa7ebba6433f602dd0bf97e0d8e1",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-08T08:33:29Z",
    "title_canon_sha256": "fca83189d4c2843e447a1c7e2aa0c95dcc3b2ab28788652833492095e4853dff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1657",
    "kind": "arxiv",
    "version": 1
  }
}