Pith Number

pith:JZQ4CHIR

pith:2026:JZQ4CHIRIMESQAEZEBGQDMN2CM

not attested not anchored not stored refs pending

Indistinguishability in One-or-Two-Ended Forests on Unimodular Random Graphs

Ali Khezeli, Francois Baccelli

arxiv:2603.19717 v2 · 2026-03-20 · 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{JZQ4CHIRIMESQAEZEBGQDMN2CM}

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	2026-05-20T00:00:36.884019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e61c11d114309280099204d01b1ba1337e6d8ff50fcb4c884af85d2d24c2f4d

Aliases

arxiv: 2603.19717 · arxiv_version: 2603.19717v2 · doi: 10.48550/arxiv.2603.19717 · pith_short_12: JZQ4CHIRIMES · pith_short_16: JZQ4CHIRIMESQAEZ · pith_short_8: JZQ4CHIR

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/JZQ4CHIRIMESQAEZEBGQDMN2CM \
  | 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: 4e61c11d114309280099204d01b1ba1337e6d8ff50fcb4c884af85d2d24c2f4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f20052c1f9edff240c67668a3f5e364343bcda59d2cec6df7eca6c4155328cdb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-03-20T07:47:07Z",
    "title_canon_sha256": "33211c09500117ef2768088cd200d6bc99f46d716154a1e7b80d2feaaa5db2f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.19717",
    "kind": "arxiv",
    "version": 2
  }
}