Pith Number

pith:4L7B2JNX

pith:2017:4L7B2JNXBAQRQTVRS5OBNACBOR

not attested not anchored not stored refs pending

Existence of an unbounded vacant set for subcritical continuum percolation

Augusto Teixeira, Daniel Ahlberg, Vincent Tassion

arxiv:1706.03053 v2 · 2017-06-09 · 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{4L7B2JNXBAQRQTVRS5OBNACBOR}

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	2026-05-18T00:41:32.067280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2fe1d25b70821184eb1975c1680417444a99073f94194597970573de1309860

Aliases

arxiv: 1706.03053 · arxiv_version: 1706.03053v2 · doi: 10.48550/arxiv.1706.03053 · pith_short_12: 4L7B2JNXBAQR · pith_short_16: 4L7B2JNXBAQRQTVR · pith_short_8: 4L7B2JNX

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/4L7B2JNXBAQRQTVRS5OBNACBOR \
  | 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: e2fe1d25b70821184eb1975c1680417444a99073f94194597970573de1309860

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2280f27aa8a15c7713e110292fcf306b20431c0b7f250f5a74daf5947fb504be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-06-09T17:37:09Z",
    "title_canon_sha256": "b2136d6a7b891f13d66b23fb6b80ede552fef6bc6e0d9d30890d5156a2dd7812"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.03053",
    "kind": "arxiv",
    "version": 2
  }
}