Pith Number

pith:UQN75S23

pith:2017:UQN75S23F4SM755XF47HFH7RN4

not attested not anchored not stored refs pending

On the critical threshold for continuum AB percolation

David Dereudre, Mathew D. Penrose

arxiv:1712.04737 v1 · 2017-12-13 · 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{UQN75S23F4SM755XF47HFH7RN4}

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	2026-05-17T23:41:13.354606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a41bfecb5b2f24cff7b72f3e729ff16f0ac612cc885de4b5cc40bfecdd8920ae

Aliases

arxiv: 1712.04737 · arxiv_version: 1712.04737v1 · doi: 10.48550/arxiv.1712.04737 · pith_short_12: UQN75S23F4SM · pith_short_16: UQN75S23F4SM755X · pith_short_8: UQN75S23

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/UQN75S23F4SM755XF47HFH7RN4 \
  | 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: a41bfecb5b2f24cff7b72f3e729ff16f0ac612cc885de4b5cc40bfecdd8920ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd33e95ca5ea473e8a0806f56bf76e836af5dd05bd4169bdded483b23593cc5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-12-13T12:36:18Z",
    "title_canon_sha256": "b96d810668e7a8242bb542267d143bf1b8b02d4aa610175def121ad3e2af3db7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04737",
    "kind": "arxiv",
    "version": 1
  }
}