Pith Number

pith:I4X75XM2

pith:2013:I4X75XM2AIQTC6S7THHME5QOSR

not attested not anchored not stored refs pending

Shattering Thresholds for Random Systems of Sets, Words, and Permutations

Anant P. Godbole, Samantha Pinella, Yan Zhuang

arxiv:1301.6371 v2 · 2013-01-27 · 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{I4X75XM2AIQTC6S7THHME5QOSR}

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	2026-05-18T03:26:22.670642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

472ffedd9a0221317a5f99cec2760e944423ce3bb73fc1f292669ee9891495ab

Aliases

arxiv: 1301.6371 · arxiv_version: 1301.6371v2 · doi: 10.48550/arxiv.1301.6371 · pith_short_12: I4X75XM2AIQT · pith_short_16: I4X75XM2AIQTC6S7 · pith_short_8: I4X75XM2

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/I4X75XM2AIQTC6S7THHME5QOSR \
  | 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: 472ffedd9a0221317a5f99cec2760e944423ce3bb73fc1f292669ee9891495ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f192b91145b8f8c419e49e793792820a71057bcd468ff30ce0462e145137397e",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-01-27T16:31:22Z",
    "title_canon_sha256": "0af761c4b0f24999a3683bbacb49d253ebd3e4b318a3af87297c457f981af7ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6371",
    "kind": "arxiv",
    "version": 2
  }
}