Pith Number

pith:CGEWFSM7

pith:2007:CGEWFSM7I4PMWLUJ5CPU2RL4BA

not attested not anchored not stored refs pending

From Random Processes to Generalized Fields: A Unified Approach to Stochastic Integration

K. Stemmann, S. V. Lototsky

arxiv:0706.2391 v1 · 2007-06-16 · 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{CGEWFSM7I4PMWLUJ5CPU2RL4BA}

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	2026-07-04T15:02:16.955109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

118962c99f471ecb2e89e89f4d457c0822b775c619009dcb9b5fa0e2480698a2

Aliases

arxiv: 0706.2391 · arxiv_version: 0706.2391v1 · doi: 10.48550/arxiv.0706.2391 · pith_short_12: CGEWFSM7I4PM · pith_short_16: CGEWFSM7I4PMWLUJ · pith_short_8: CGEWFSM7

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/CGEWFSM7I4PMWLUJ5CPU2RL4BA \
  | 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: 118962c99f471ecb2e89e89f4d457c0822b775c619009dcb9b5fa0e2480698a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddefe43eac6368903ce47675db5873da53a0b11a7346ac3b07946b63d0fec3a5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2007-06-16T01:14:44Z",
    "title_canon_sha256": "cb19af69b656b47e20fb507ae5131c7a72efe91d7199a68031d016b75e52725d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.2391",
    "kind": "arxiv",
    "version": 1
  }
}