Pith Number

pith:QBAJBQ4G

pith:2019:QBAJBQ4GZQNAIDZIKMUWFHUY2E

not attested not anchored not stored refs pending

Percolating sets in bootstrap percolation on the Hamming graphs

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

arxiv:1905.01942 v1 · 2019-05-06 · 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{QBAJBQ4GZQNAIDZIKMUWFHUY2E}

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	2026-05-17T23:46:56.956552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

804090c386cc1a040f285329629e98d138566c9fbf12323586bfec518eaeaf1a

Aliases

arxiv: 1905.01942 · arxiv_version: 1905.01942v1 · doi: 10.48550/arxiv.1905.01942 · pith_short_12: QBAJBQ4GZQNA · pith_short_16: QBAJBQ4GZQNAIDZI · pith_short_8: QBAJBQ4G

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/QBAJBQ4GZQNAIDZIKMUWFHUY2E \
  | 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: 804090c386cc1a040f285329629e98d138566c9fbf12323586bfec518eaeaf1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b7709feff8fdfe0845293cdf291b4c75c732eeb2d9519548dc475d06829ddc4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-05-06T11:53:21Z",
    "title_canon_sha256": "857c78b6b31f6b33137663fd61577122c34bc1f7d06aee35dd7f4ab00b411589"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.01942",
    "kind": "arxiv",
    "version": 1
  }
}