Pith Number

pith:YNKW7PTA

pith:2014:YNKW7PTAK5THHSIYDKNNHVRKOQ

not attested not anchored not stored refs pending

H\"ormander-Type Theorem for It\^o Processes and Related Backward SPDEs

Jinniao Qiu

arxiv:1412.5481 v2 · 2014-12-17 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YNKW7PTAK5THHSIYDKNNHVRKOQ}

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	2026-05-18T02:20:49.359002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3556fbe60576673c9181a9ad3d62a743d656b40246bf8643a5180987d7d32fd

Aliases

arxiv: 1412.5481 · arxiv_version: 1412.5481v2 · doi: 10.48550/arxiv.1412.5481 · pith_short_12: YNKW7PTAK5TH · pith_short_16: YNKW7PTAK5THHSIY · pith_short_8: YNKW7PTA

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/YNKW7PTAK5THHSIYDKNNHVRKOQ \
  | 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: c3556fbe60576673c9181a9ad3d62a743d656b40246bf8643a5180987d7d32fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef7c17244a4d5482559dd796c73e63d4514fc87852c4e467abc7a1b0f9d8d41a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-12-17T17:05:24Z",
    "title_canon_sha256": "ac646b0eb7caa4a7eaefb2b581f3af4f260f4fc89f9ea00d979580364e3d8ad6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5481",
    "kind": "arxiv",
    "version": 2
  }
}