Pith Number

pith:P4DIJOJN

pith:2026:P4DIJOJN3NDVY2P6XOXC5LZT3X

not attested not anchored not stored refs pending

On It\^o-Stratonovich formula for rough sheets

Samy Tindel, Youssef Hakiki

arxiv:2606.20908 v1 · 2026-06-18 · math.PR · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P4DIJOJN3NDVY2P6XOXC5LZT3X}

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	2026-06-23T01:12:21.639096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f0684b92ddb475c69febbae2eaf33ddd1bd033e1002f85ad89d527ba23e4680

Aliases

arxiv: 2606.20908 · arxiv_version: 2606.20908v1 · doi: 10.48550/arxiv.2606.20908 · pith_short_12: P4DIJOJN3NDV · pith_short_16: P4DIJOJN3NDVY2P6 · pith_short_8: P4DIJOJN

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/P4DIJOJN3NDVY2P6XOXC5LZT3X \
  | 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: 7f0684b92ddb475c69febbae2eaf33ddd1bd033e1002f85ad89d527ba23e4680

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2650c5ce6eda9052992648cf5bb091841e01452ee9ca7d8f9f9cfd885ef55772",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-18T20:06:35Z",
    "title_canon_sha256": "e5da37569ea4a3dbac6c79ce0983287fa8ea3c1a278ba2efcd76dfd13bc79c29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20908",
    "kind": "arxiv",
    "version": 1
  }
}