Pith Number

pith:75SS26XF

pith:2015:75SS26XF7KBZIT2AXM6M4S7YWY

not attested not anchored not stored refs pending

Weak calculus of variations for functionals of laws of semi-martingales

Ana Bela Cruzeiro, R\'emi Lassalle

arxiv:1501.05134 v1 · 2015-01-21 · math.PR · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{75SS26XF7KBZIT2AXM6M4S7YWY}

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	2026-05-18T02:29:00.700827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff652d7ae5fa83944f40bb3cce4bf8b62b635d0a5e1762038bebb590c058db4b

Aliases

arxiv: 1501.05134 · arxiv_version: 1501.05134v1 · doi: 10.48550/arxiv.1501.05134 · pith_short_12: 75SS26XF7KBZ · pith_short_16: 75SS26XF7KBZIT2A · pith_short_8: 75SS26XF

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/75SS26XF7KBZIT2AXM6M4S7YWY \
  | 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: ff652d7ae5fa83944f40bb3cce4bf8b62b635d0a5e1762038bebb590c058db4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f92bcba54d65e8fbf84b5d4e0eec26fd91b4b303fa36e8426d32760d9aac3965",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-01-21T11:31:00Z",
    "title_canon_sha256": "875f242fc38f4c014ddcb49a374ebcf6050802215d3c12a30b3dbadef5bdbf1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05134",
    "kind": "arxiv",
    "version": 1
  }
}