Pith Number

pith:W64VIBGG

pith:2019:W64VIBGGIOPDAWFM7SEZAU5CHO

not attested not anchored not stored refs pending

The acceptance profile of invasion percolation at $p_c$ in two dimensions

Bounghun Bock, Michael Damron

arxiv:1904.08893 v2 · 2019-04-18 · 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{W64VIBGGIOPDAWFM7SEZAU5CHO}

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	2026-05-17T23:47:43.588271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7b95404c6439e3058acfc899053a23b9460278179d226f5d277c156e7b46833

Aliases

arxiv: 1904.08893 · arxiv_version: 1904.08893v2 · doi: 10.48550/arxiv.1904.08893 · pith_short_12: W64VIBGGIOPD · pith_short_16: W64VIBGGIOPDAWFM · pith_short_8: W64VIBGG

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/W64VIBGGIOPDAWFM7SEZAU5CHO \
  | 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: b7b95404c6439e3058acfc899053a23b9460278179d226f5d277c156e7b46833

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5eb20e3926e8910ba2c673ee8e5ca801e7ea2b654de5d677e538e5dfc201f347",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-04-18T17:05:47Z",
    "title_canon_sha256": "508e5715164efa2f1bbbae713c82ab9bfabd2c27ad4423ce09ebdc9039012e85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.08893",
    "kind": "arxiv",
    "version": 2
  }
}