Pith Number

pith:6DHOYTFS

pith:2011:6DHOYTFSZURIJ66DMEMR5V3DNP

not attested not anchored not stored refs pending

Strong envelope and strong supermartingale: application to reflected bsdes

Soufiane Aazizi, Youssef Ouknine

arxiv:1112.0255 v2 · 2011-12-01 · 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{6DHOYTFSZURIJ66DMEMR5V3DNP}

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	2026-05-18T01:23:26.792347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0ceec4cb2cd2284fbc361191ed7636bc74498fed896a548213cb8b1b564adab

Aliases

arxiv: 1112.0255 · arxiv_version: 1112.0255v2 · doi: 10.48550/arxiv.1112.0255 · pith_short_12: 6DHOYTFSZURI · pith_short_16: 6DHOYTFSZURIJ66D · pith_short_8: 6DHOYTFS

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/6DHOYTFSZURIJ66DMEMR5V3DNP \
  | 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: f0ceec4cb2cd2284fbc361191ed7636bc74498fed896a548213cb8b1b564adab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6f59bdb0af5b244f0d57a8907fcadc65d480aab8c2a189cd3e11d8bab505437",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-01T18:02:41Z",
    "title_canon_sha256": "76023e9ca9453add5422726485346a3464a7a8bebdf6991dcd06d5c96413be5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0255",
    "kind": "arxiv",
    "version": 2
  }
}