Pith Number

pith:XZMTV7OT

pith:2009:XZMTV7OTPHH3DGFUTADQYXAXQJ

not attested not anchored not stored refs pending

One-Dimensional Diffusions That Eventually Stop Down-Crossing

Ross G. Pinsky

arxiv:0912.1973 v1 · 2009-12-10 · 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{XZMTV7OTPHH3DGFUTADQYXAXQJ}

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	2026-05-18T02:58:02.561763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be593afdd379cfb198b498070c5c1782547e9870c15e40efb1978d5fd47c5c2d

Aliases

arxiv: 0912.1973 · arxiv_version: 0912.1973v1 · doi: 10.48550/arxiv.0912.1973 · pith_short_12: XZMTV7OTPHH3 · pith_short_16: XZMTV7OTPHH3DGFU · pith_short_8: XZMTV7OT

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/XZMTV7OTPHH3DGFUTADQYXAXQJ \
  | 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: be593afdd379cfb198b498070c5c1782547e9870c15e40efb1978d5fd47c5c2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "224f051a41c3a299bf28b442a4b88ebfea79de8b85ed24ebef1561675ea872bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-12-10T11:34:12Z",
    "title_canon_sha256": "fb55b7538d85e2e3141615c6db279d7ab2d52a288b968a26170cb0ba2e62ad85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.1973",
    "kind": "arxiv",
    "version": 1
  }
}