Pith Number

pith:ACMARLHY

pith:2025:ACMARLHYPRFPJEGSRMBVV2WMBB

not attested not anchored not stored refs pending

Stochastic Calculus and Hochschild Homology

Peng Yang, Si Li, Zichang Wang

arxiv:2501.12360 v3 · 2025-01-21 · math.PR · hep-th · math-ph · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ACMARLHYPRFPJEGSRMBVV2WMBB}

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	2026-07-05T10:33:42.706896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

009808acf87c4af490d28b035aeacc084e0f9e4f497f7f26e006e7752cf93512

Aliases

arxiv: 2501.12360 · arxiv_version: 2501.12360v3 · doi: 10.48550/arxiv.2501.12360 · pith_short_12: ACMARLHYPRFP · pith_short_16: ACMARLHYPRFPJEGS · pith_short_8: ACMARLHY

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/ACMARLHYPRFPJEGSRMBVV2WMBB \
  | 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: 009808acf87c4af490d28b035aeacc084e0f9e4f497f7f26e006e7752cf93512

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1976461783d1605d3cab11f204a6c946ebc510accd3b99cda22f73dd2ecee17",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-01-21T18:40:21Z",
    "title_canon_sha256": "f25cff4fff19cb30d918a364ac3e20c1e176ac6238ed779cdc115087c5320514"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.12360",
    "kind": "arxiv",
    "version": 3
  }
}