Pith Number

pith:AODLLQ75

pith:2015:AODLLQ75T67MOICR353NWFAX4M

not attested not anchored not stored refs pending

The critical probability for confetti percolation equals $1/2$

Tobias Muller

arxiv:1504.07879 v2 · 2015-04-29 · 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{AODLLQ75T67MOICR353NWFAX4M}

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	2026-05-18T01:19:35.381671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0386b5c3fd9fbec72051df76db1417e311eaf94fe835de4fa5265edd30696829

Aliases

arxiv: 1504.07879 · arxiv_version: 1504.07879v2 · doi: 10.48550/arxiv.1504.07879 · pith_short_12: AODLLQ75T67M · pith_short_16: AODLLQ75T67MOICR · pith_short_8: AODLLQ75

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/AODLLQ75T67MOICR353NWFAX4M \
  | 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: 0386b5c3fd9fbec72051df76db1417e311eaf94fe835de4fa5265edd30696829

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07ba73a4756aecc3ef9a064feb30adf9db2e1914136e8b90b3116e8ee28c89bd",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-04-29T14:49:53Z",
    "title_canon_sha256": "c917ac540fdfb0b4610cff94bfd28408650fd4ada330feeadbe643e176514b51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07879",
    "kind": "arxiv",
    "version": 2
  }
}