Pith Number

pith:53FCEV2B

pith:2011:53FCEV2BQY3H36KN6HMCOJ7MOF

not attested not anchored not stored refs pending

Explosive Percolation in Erd\"os-R\'enyi-Like Random Graph Processes

Angelika Steger, Henning Thomas, Konstantinos Panagiotou, Reto Sp\"ohel

arxiv:1104.1309 v1 · 2011-04-07 · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{53FCEV2BQY3H36KN6HMCOJ7MOF}

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	2026-05-18T04:24:52.484223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eeca22574186367df94df1d82727ec717d2c95321fb04ca5776db9236e06d8e6

Aliases

arxiv: 1104.1309 · arxiv_version: 1104.1309v1 · doi: 10.48550/arxiv.1104.1309 · pith_short_12: 53FCEV2BQY3H · pith_short_16: 53FCEV2BQY3H36KN · pith_short_8: 53FCEV2B

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/53FCEV2BQY3H36KN6HMCOJ7MOF \
  | 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: eeca22574186367df94df1d82727ec717d2c95321fb04ca5776db9236e06d8e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5de7cf957f1abd73f809dd53cc3e239845de17cd1f578f944b6a0d522461164",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-04-07T12:08:27Z",
    "title_canon_sha256": "c3d77e9287ae1be1c2c2545eaa65d201994a58f6e09178ef8bfc7d22b3ec8545"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1309",
    "kind": "arxiv",
    "version": 1
  }
}