Pith Number

pith:2K7CNA23

pith:2009:2K7CNA23YLVBD5ESQPWEGX3FDV

not attested not anchored not stored refs pending

An extension of Wiener integration with the use of operator theory

Myung-Sin Song, Palle E. T. Jorgensen

arxiv:0901.0195 v1 · 2009-01-01 · 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{2K7CNA23YLVBD5ESQPWEGX3FDV}

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	2026-05-18T02:15:03.520586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2be26835bc2ea11f49283ec435f651d606704999da49a0d77c9789eca381bc2

Aliases

arxiv: 0901.0195 · arxiv_version: 0901.0195v1 · doi: 10.48550/arxiv.0901.0195 · pith_short_12: 2K7CNA23YLVB · pith_short_16: 2K7CNA23YLVBD5ES · pith_short_8: 2K7CNA23

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/2K7CNA23YLVBD5ESQPWEGX3FDV \
  | 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: d2be26835bc2ea11f49283ec435f651d606704999da49a0d77c9789eca381bc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "059674a780408962cfeac8ee33e3fb4f73033daf1cfdde3a1076184111525bc5",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-01-01T21:26:19Z",
    "title_canon_sha256": "1e9887608cc308049a5898ac8b53380f9f40616dadbbe9c3dd29720c024974e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.0195",
    "kind": "arxiv",
    "version": 1
  }
}