Pith Number

pith:RC6KLKBW

pith:2015:RC6KLKBWIWMWCSU4XPYA3JXAEJ

not attested not anchored not stored refs pending

Bootstrap percolation on products of cycles and complete graphs

David Sivakoff, Janko Gravner

arxiv:1505.03204 v1 · 2015-05-13 · 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{RC6KLKBWIWMWCSU4XPYA3JXAEJ}

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	2026-05-18T02:12:10.142633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88bca5a8364599614a9cbbf00da6e02260eb1543ed2a5039c1ef29e65d394b17

Aliases

arxiv: 1505.03204 · arxiv_version: 1505.03204v1 · doi: 10.48550/arxiv.1505.03204 · pith_short_12: RC6KLKBWIWMW · pith_short_16: RC6KLKBWIWMWCSU4 · pith_short_8: RC6KLKBW

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/RC6KLKBWIWMWCSU4XPYA3JXAEJ \
  | 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: 88bca5a8364599614a9cbbf00da6e02260eb1543ed2a5039c1ef29e65d394b17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76376a353d2a67a616d52da5d92c6622dcac829716b40a28afa1decc37585f0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-05-13T00:36:20Z",
    "title_canon_sha256": "746d4933c837c577b4f935385f0051e480ea6ae4f1837bbc072044eebabe4017"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03204",
    "kind": "arxiv",
    "version": 1
  }
}