Pith Number

pith:SAFUUEKY

pith:2026:SAFUUEKYFBLENNR66KXSHVZOW4

not attested not anchored not stored refs pending

Sharp phase transition for percolation with short-range dependencies

Olivier Henry, Peter M\"orters

arxiv:2607.14993 v1 · 2026-07-16 · 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{SAFUUEKYFBLENNR66KXSHVZOW4}

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	2026-07-17T01:22:02.748137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

900b4a1158285646b63ef2af23d72eb700f043244c5cea79a572e800281aa868

Aliases

arxiv: 2607.14993 · arxiv_version: 2607.14993v1 · doi: 10.48550/arxiv.2607.14993 · pith_short_12: SAFUUEKYFBLE · pith_short_16: SAFUUEKYFBLENNR6 · pith_short_8: SAFUUEKY

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/SAFUUEKYFBLENNR66KXSHVZOW4 \
  | 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: 900b4a1158285646b63ef2af23d72eb700f043244c5cea79a572e800281aa868

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aaf95dfc64cf8a325c83d5bb0258c183ee7ab70f00147d4679b57681774e6190",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-16T13:44:35Z",
    "title_canon_sha256": "4596642cfe029e8c917e7a4eec609649d963a75752ea6020355900f54d9b63be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14993",
    "kind": "arxiv",
    "version": 1
  }
}