Pith Number

pith:T2LZBSWF

pith:2015:T2LZBSWFOIYA4PAJMPE7SAIJFT

not attested not anchored not stored refs pending

Majority bootstrap percolation on the random graph G(n,p)

Sigurdur \"Orn Stef\'ansson, Thomas Vallier

arxiv:1503.07029 v1 · 2015-03-24 · 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{T2LZBSWFOIYA4PAJMPE7SAIJFT}

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	2026-05-18T02:20:29.502288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e9790cac572300e3c0963c9f901092cd0e76ff72b08cf82e9f1eb5806d850c0

Aliases

arxiv: 1503.07029 · arxiv_version: 1503.07029v1 · doi: 10.48550/arxiv.1503.07029 · pith_short_12: T2LZBSWFOIYA · pith_short_16: T2LZBSWFOIYA4PAJ · pith_short_8: T2LZBSWF

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/T2LZBSWFOIYA4PAJMPE7SAIJFT \
  | 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: 9e9790cac572300e3c0963c9f901092cd0e76ff72b08cf82e9f1eb5806d850c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f43cbe9342e836c83dacc4b1ad6520ff2662fdc03659d9e988e416f72d1e036",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-03-24T13:31:27Z",
    "title_canon_sha256": "fd4fd9d4095d5640a4de4a52a4c9bbe198ee510497f4b7873b8b4bf9b88c0e55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07029",
    "kind": "arxiv",
    "version": 1
  }
}