Pith Number

pith:IGJRBRNO

pith:2016:IGJRBRNOOD45Y5TNJTRSYUY52P

not attested not anchored not stored refs pending

Bootstrap percolation on G(n,p) revisited

Mihyun Kang, Tam\'as Makai

arxiv:1605.02995 v1 · 2016-05-10 · 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{IGJRBRNOOD45Y5TNJTRSYUY52P}

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	2026-05-18T01:15:07.935837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

419310c5ae70f9dc766d4ce32c531dd3e6cfbf43c82b32dba744eae801da2a6d

Aliases

arxiv: 1605.02995 · arxiv_version: 1605.02995v1 · doi: 10.48550/arxiv.1605.02995 · pith_short_12: IGJRBRNOOD45 · pith_short_16: IGJRBRNOOD45Y5TN · pith_short_8: IGJRBRNO

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/IGJRBRNOOD45Y5TNJTRSYUY52P \
  | 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: 419310c5ae70f9dc766d4ce32c531dd3e6cfbf43c82b32dba744eae801da2a6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27cdd618dba13490e398c2daa55582c5902860875f29ce7630733ae48067b6c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-10T13:19:54Z",
    "title_canon_sha256": "a0293972c0e20a4e8b4468e30cf3984bf9174301df7e5833ec178c2c95ec1bf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02995",
    "kind": "arxiv",
    "version": 1
  }
}