Pith Number

pith:RVXOQ3DF

pith:2015:RVXOQ3DFL4REYAZFSS6URMAZWV

not attested not anchored not stored refs pending

Tightness and duality of martingale transport on the Skorokhod space

Gaoyue Guo, Nizar Touzi, Xiaolu Tan

arxiv:1507.01125 v2 · 2015-07-04 · math.PR · math.OC · q-fin.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{RVXOQ3DFL4REYAZFSS6URMAZWV}

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	2026-05-18T01:09:57.970102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d6ee86c655f224c032594bd48b019b5435be76ebcbf72959e8505154134408f

Aliases

arxiv: 1507.01125 · arxiv_version: 1507.01125v2 · doi: 10.48550/arxiv.1507.01125 · pith_short_12: RVXOQ3DFL4RE · pith_short_16: RVXOQ3DFL4REYAZF · pith_short_8: RVXOQ3DF

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/RVXOQ3DFL4REYAZFSS6URMAZWV \
  | 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: 8d6ee86c655f224c032594bd48b019b5435be76ebcbf72959e8505154134408f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d41ed6f5204aedf1adf4ffaa50b82367d4ef97fcdb019ac882c7bae86b1f11e",
    "cross_cats_sorted": [
      "math.OC",
      "q-fin.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-07-04T16:22:46Z",
    "title_canon_sha256": "f44c6fd9254daf9f6706aa2d400bd93fee0754186a51c228c23ed487d867cbd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01125",
    "kind": "arxiv",
    "version": 2
  }
}