Pith Number

pith:4UY7X34X

pith:2006:4UY7X34X4YV3I2XIMJPNXN44QF

not attested not anchored not stored refs pending

Martin boundary of a reflected random walk on a half-space

Irina Ignatiouk-Robert

arxiv:math/0610242 v2 · 2006-10-07 · 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{4UY7X34X4YV3I2XIMJPNXN44QF}

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	2026-05-18T03:09:00.059660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e531fbef97e62bb46ae8625edbb79c817f65e9cbcbacade774eba7aa3af21fa0

Aliases

arxiv: math/0610242 · arxiv_version: math/0610242v2 · doi: 10.48550/arxiv.math/0610242 · pith_short_12: 4UY7X34X4YV3 · pith_short_16: 4UY7X34X4YV3I2XI · pith_short_8: 4UY7X34X

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/4UY7X34X4YV3I2XIMJPNXN44QF \
  | 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: e531fbef97e62bb46ae8625edbb79c817f65e9cbcbacade774eba7aa3af21fa0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0b92839bbba3ab7e2896fa8df12faa251170710dcffb3c25efb916a9cddd2cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2006-10-07T10:02:36Z",
    "title_canon_sha256": "32668d7041bf260c373a1bb1441a4ff21209b597d4e35183d0602fa32158108c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610242",
    "kind": "arxiv",
    "version": 2
  }
}