Pith Number

pith:LFXFSYKS

pith:2017:LFXFSYKSTNOSGXURM3HM6JNITP

not attested not anchored not stored refs pending

Martingale Benamou--Brenier: a probabilistic perspective

Julio Backhoff-Veraguas, Martin Huesmann, Mathias Beiglb\"ock, Sigrid K\"allblad

arxiv:1708.04869 v2 · 2017-08-16 · math.PR · math.CA · q-fin.MF

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LFXFSYKSTNOSGXURM3HM6JNITP}

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	2026-05-17T23:56:21.153507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

596e5961529b5d235e9166cecf25a89beb54e269fa2d372c609920ae0038edc7

Aliases

arxiv: 1708.04869 · arxiv_version: 1708.04869v2 · doi: 10.48550/arxiv.1708.04869 · pith_short_12: LFXFSYKSTNOS · pith_short_16: LFXFSYKSTNOSGXUR · pith_short_8: LFXFSYKS

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/LFXFSYKSTNOSGXURM3HM6JNITP \
  | 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: 596e5961529b5d235e9166cecf25a89beb54e269fa2d372c609920ae0038edc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "771fb6f45718075a587cac3ea6ae21af1ae4d6cdf579b18dc774671dd3bd5f2c",
    "cross_cats_sorted": [
      "math.CA",
      "q-fin.MF"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-08-16T13:09:52Z",
    "title_canon_sha256": "231ee2cefb80b90bea5014c993a7076ef89cba029d6c925557cf5baaa83f1bf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04869",
    "kind": "arxiv",
    "version": 2
  }
}