Pith Number

pith:WDYC3EPC

pith:2012:WDYC3EPCTC7FI3JV2ZZQFY5B4A

not attested not anchored not stored refs pending

The Viability Property for Path-dependent SDE under Open Constraints

Liangquan Zhang

arxiv:1203.5666 v5 · 2012-03-26 · 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{WDYC3EPCTC7FI3JV2ZZQFY5B4A}

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	2026-05-18T01:59:59.318986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0f02d91e298be546d35d67302e3a1e0033c97c7e5c06f3c0283edb0294e7040

Aliases

arxiv: 1203.5666 · arxiv_version: 1203.5666v5 · doi: 10.48550/arxiv.1203.5666 · pith_short_12: WDYC3EPCTC7F · pith_short_16: WDYC3EPCTC7FI3JV · pith_short_8: WDYC3EPC

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/WDYC3EPCTC7FI3JV2ZZQFY5B4A \
  | 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: b0f02d91e298be546d35d67302e3a1e0033c97c7e5c06f3c0283edb0294e7040

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c26ab965f73d422c16144f279bfdb5e443c62699d9a8d7d274b15e35f6c49fb0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-03-26T13:54:20Z",
    "title_canon_sha256": "86b027ca030c483d1f7a08461abdd8c04eac928dc6a3eb823ddc76551fd4b15b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5666",
    "kind": "arxiv",
    "version": 5
  }
}