Pith Number

pith:B64WOLFK

pith:2018:B64WOLFKLPEFCHTANVD6WSDLNR

not attested not anchored not stored refs pending

On $K_{2,t}$-bootstrap percolation

A. Mohammadian, B. Tayfeh-Rezaie, M.R. Bidgoli

arxiv:1806.10425 v1 · 2018-06-27 · 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{B64WOLFKLPEFCHTANVD6WSDLNR}

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	2026-05-18T00:12:12.483921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fb9672caa5bc8511e606d47eb486b6c6daa7fd2c1a194ae778ddc540a0dd05e

Aliases

arxiv: 1806.10425 · arxiv_version: 1806.10425v1 · doi: 10.48550/arxiv.1806.10425 · pith_short_12: B64WOLFKLPEF · pith_short_16: B64WOLFKLPEFCHTA · pith_short_8: B64WOLFK

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/B64WOLFKLPEFCHTANVD6WSDLNR \
  | 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: 0fb9672caa5bc8511e606d47eb486b6c6daa7fd2c1a194ae778ddc540a0dd05e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6ade47717251fead72fc61143e1810865d8ec5756ba58b0898e8621ff8046b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-27T11:59:12Z",
    "title_canon_sha256": "6957e5fe99601299df2f503d5a267e7aef328d5c13a79f604fb35f99b64e5f3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.10425",
    "kind": "arxiv",
    "version": 1
  }
}