Pith Number

pith:TRDXWRU3

pith:2010:TRDXWRU3IE2ISPFOR37FJH3E6N

not attested not anchored not stored refs pending

Wiener Process with Reflection in Non-Smooth Narrow Tubes

Konstantinos Spiliopoulos

arxiv:1004.2991 v1 · 2010-04-18 · math.PR · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TRDXWRU3IE2ISPFOR37FJH3E6N}

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	2026-05-18T04:34:37.156452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c477b469b4134893cae8efe549f64f36acf1c678927c7cc0bb66771263f491e

Aliases

arxiv: 1004.2991 · arxiv_version: 1004.2991v1 · doi: 10.48550/arxiv.1004.2991 · pith_short_12: TRDXWRU3IE2I · pith_short_16: TRDXWRU3IE2ISPFO · pith_short_8: TRDXWRU3

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/TRDXWRU3IE2ISPFOR37FJH3E6N \
  | 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: 9c477b469b4134893cae8efe549f64f36acf1c678927c7cc0bb66771263f491e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0af623d11da4282d74faf5fe305d2a71f6453773d092094d13a83e5dee7b5f74",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-04-18T01:46:23Z",
    "title_canon_sha256": "b9094f7911f8c64229a592edccd7095ec24d2ba94207ac40e02a5b99c7ad39db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2991",
    "kind": "arxiv",
    "version": 1
  }
}