Pith Number

pith:FIAOE66E

pith:2015:FIAOE66E4W7H2KP2P2E25NE364

not attested not anchored not stored refs pending

Nucleation and growth in two dimensions

B\'ela Bollob\'as, Leonardo Rolla, Paul Smith, Robert Morris, Simon Griffiths

arxiv:1508.06267 v2 · 2015-08-25 · math.PR · 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{FIAOE66E4W7H2KP2P2E25NE364}

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	2026-05-18T00:15:47.653721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a00e27bc4e5be7d29fa7e89aeb49bf7323021672013e9e03461413e241a2cc5

Aliases

arxiv: 1508.06267 · arxiv_version: 1508.06267v2 · doi: 10.48550/arxiv.1508.06267 · pith_short_12: FIAOE66E4W7H · pith_short_16: FIAOE66E4W7H2KP2 · pith_short_8: FIAOE66E

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/FIAOE66E4W7H2KP2P2E25NE364 \
  | 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: 2a00e27bc4e5be7d29fa7e89aeb49bf7323021672013e9e03461413e241a2cc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39c9c9c9884f5a209a380a2471a6bfaa3ea1cd7fe23595a651d4f55943e61ad4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-25T19:52:57Z",
    "title_canon_sha256": "5c59bd241adf1aaefcc97b76755f97d658fa886afd52543d06a827ac04c1be38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06267",
    "kind": "arxiv",
    "version": 2
  }
}