Pith Number

pith:TJIRXRLK

pith:2026:TJIRXRLKVBIYN3FCGRFZMB7IYD

not attested not anchored not stored refs pending

Super-Brownian limits and the $k$-point function for high-dimensional percolation

Arthur Blanc-Renaudie, Tom Hutchcroft

arxiv:2607.22387 v1 · 2026-07-24 · math.PR · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TJIRXRLKVBIYN3FCGRFZMB7IYD}

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	2026-07-27T01:21:17.822669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a511bc56aa85186eca2344b9607e8c0d866ae2826a45d863f57bec7114b6a74

Aliases

arxiv: 2607.22387 · arxiv_version: 2607.22387v1 · doi: 10.48550/arxiv.2607.22387 · pith_short_12: TJIRXRLKVBIY · pith_short_16: TJIRXRLKVBIYN3FC · pith_short_8: TJIRXRLK

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/TJIRXRLKVBIYN3FCGRFZMB7IYD \
  | 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: 9a511bc56aa85186eca2344b9607e8c0d866ae2826a45d863f57bec7114b6a74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "581d9542514df62b4c72dc8ea8bbb3066b6999d9293aab58bedb1799c5509f09",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-24T15:12:59Z",
    "title_canon_sha256": "527e5c74f191909df19305f551a11d819dc44429512f559611abc20885793645"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.22387",
    "kind": "arxiv",
    "version": 1
  }
}