Pith Number

pith:LW7XA5CT

pith:2025:LW7XA5CTT75DHOARIWLBYYAXG6

not attested not anchored not stored refs pending

Non-uniqueness of stationary measures for stochastic systems with almost surely invariant manifolds

Alex Blumenthal, Jacob Bedrossian, Sam Punshon-Smith

arxiv:2505.22903 v2 · 2025-05-28 · math.DS · 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{LW7XA5CTT75DHOARIWLBYYAXG6}

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	2026-07-05T11:25:11.323225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dbf7074539ffa33b81145961c6017378032d053a9d8287026a6918d088c79a7

Aliases

arxiv: 2505.22903 · arxiv_version: 2505.22903v2 · doi: 10.48550/arxiv.2505.22903 · pith_short_12: LW7XA5CTT75D · pith_short_16: LW7XA5CTT75DHOAR · pith_short_8: LW7XA5CT

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/LW7XA5CTT75DHOARIWLBYYAXG6 \
  | 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: 5dbf7074539ffa33b81145961c6017378032d053a9d8287026a6918d088c79a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f2e21bbbe3302178c403116651e7492637c602be1283a6b15a404036a200f3a",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-05-28T22:09:54Z",
    "title_canon_sha256": "3a339cf45c5df1f455b4e043719d36dec986992e8a721ad54c171dca7e45bbb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.22903",
    "kind": "arxiv",
    "version": 2
  }
}