Pith Number

pith:7YLHG57H

pith:2011:7YLHG57HLL5BYHYSD5RFM6IUBL

not attested not anchored not stored refs pending

Stochastic Calculus for Markov Processes Associated with Non-symmetric Dirichlet Forms

Chuan-Zhong Chen, Li Ma, Wei Sun

arxiv:1111.3257 v2 · 2011-11-14 · 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{7YLHG57HLL5BYHYSD5RFM6IUBL}

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	2026-05-18T01:59:33.721782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe167377e75afa1c1f121f625679140afa9fd3323587014ce4c0b56ec6f51657

Aliases

arxiv: 1111.3257 · arxiv_version: 1111.3257v2 · doi: 10.48550/arxiv.1111.3257 · pith_short_12: 7YLHG57HLL5B · pith_short_16: 7YLHG57HLL5BYHYS · pith_short_8: 7YLHG57H

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/7YLHG57HLL5BYHYSD5RFM6IUBL \
  | 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: fe167377e75afa1c1f121f625679140afa9fd3323587014ce4c0b56ec6f51657

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0526ec04ef5b34b0757cc4037009e98029e0cf8d0e8b012be012f85f01c7c5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-14T15:59:32Z",
    "title_canon_sha256": "d3727157ada931b71db696e3f0972dffa1293e6ecca55c2465d453b64c6a59ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3257",
    "kind": "arxiv",
    "version": 2
  }
}