Pith Number

pith:DTVVDCMQ

pith:2017:DTVVDCMQG7PSMST5NDNPRBW3PE

not attested not anchored not stored refs pending

Dual attainment for the martingale transport problem

Jan Ob\l\'oj, Mathias Beiglboeck, Tongseok Lim

arxiv:1705.04273 v1 · 2017-05-11 · 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{DTVVDCMQG7PSMST5NDNPRBW3PE}

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	2026-05-18T00:44:39.355925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ceb51899037df264a7d68daf886db7902eeed075b934db1d2bd5fbb4194780f

Aliases

arxiv: 1705.04273 · arxiv_version: 1705.04273v1 · doi: 10.48550/arxiv.1705.04273 · pith_short_12: DTVVDCMQG7PS · pith_short_16: DTVVDCMQG7PSMST5 · pith_short_8: DTVVDCMQ

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/DTVVDCMQG7PSMST5NDNPRBW3PE \
  | 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: 1ceb51899037df264a7d68daf886db7902eeed075b934db1d2bd5fbb4194780f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dad5488ea6c22a0f546ae79d1eea006cf55fd10357acc12f37bb404cf4b5890b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-05-11T16:42:32Z",
    "title_canon_sha256": "af2361793187367d7406a8d70124c084c0c92c1b499f5ad2692568dbccb95d6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.04273",
    "kind": "arxiv",
    "version": 1
  }
}