Pith Number

pith:C7SKKX7P

pith:2026:C7SKKX7PD52TTD4HLQ3W3L23BU

not attested not anchored not stored refs pending

Broadcasting on Random Trees: Martingale Methods and Error Bounds

Tayfun Kardas, Vitali Wachtel, Vsevolod Shneer

arxiv:2606.22960 v1 · 2026-06-22 · 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{C7SKKX7PD52TTD4HLQ3W3L23BU}

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	2026-06-23T03:14:05.330261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17e4a55fef1f75398f875c376daf5b0d27ee229f094505d544e12a2348234de6

Aliases

arxiv: 2606.22960 · arxiv_version: 2606.22960v1 · doi: 10.48550/arxiv.2606.22960 · pith_short_12: C7SKKX7PD52T · pith_short_16: C7SKKX7PD52TTD4H · pith_short_8: C7SKKX7P

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/C7SKKX7PD52TTD4HLQ3W3L23BU \
  | 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: 17e4a55fef1f75398f875c376daf5b0d27ee229f094505d544e12a2348234de6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af088c2ca129b32017aacd8595996a410dbee4ddff54bab1f4792c9c7d117e47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-22T07:39:12Z",
    "title_canon_sha256": "526234d9bd9bd0e2b95c92f9e0cb591939d022ae1f0ec12a6251bc45171ea2ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22960",
    "kind": "arxiv",
    "version": 1
  }
}