Pith Number

pith:4NQHYS3O

pith:2026:4NQHYS3O3INW6BLRGN2DYHXSLJ

not attested not anchored not stored refs pending

A submartingale for the probability of avoiding the origin in one-point interaction ground-state diffusion: $d \in \{2,3\}$

Barkat Mian

arxiv:2608.11178 v1 · 2026-08-11 · 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{4NQHYS3O3INW6BLRGN2DYHXSLJ}

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	2026-08-12T01:24:45.672281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3607c4b6eda1b6f057133743c1ef25a5427226b391363121c7b670e7b5b8c6c

Aliases

arxiv: 2608.11178 · arxiv_version: 2608.11178v1 · doi: 10.48550/arxiv.2608.11178 · pith_short_12: 4NQHYS3O3INW · pith_short_16: 4NQHYS3O3INW6BLR · pith_short_8: 4NQHYS3O

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/4NQHYS3O3INW6BLRGN2DYHXSLJ \
  | 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: e3607c4b6eda1b6f057133743c1ef25a5427226b391363121c7b670e7b5b8c6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad17ff1a9d034702ddc7e2c4e0ab180a13ba8cf083322262b8dc8fb247eb9ca5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-08-11T17:37:20Z",
    "title_canon_sha256": "0955975e17fa3068a2dfb079b109da82f1b3437552e316e2a8e9f884c8152109"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.11178",
    "kind": "arxiv",
    "version": 1
  }
}