Pith Number

pith:MERQEWX4

pith:2014:MERQEWX4G5M3DLHCS6BLM3TIDR

not attested not anchored not stored refs pending

Existence of L\'evy's area and pathwise integration

David J. Pr\"omel, Peter Imkeller

arxiv:1404.3645 v3 · 2014-04-14 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MERQEWX4G5M3DLHCS6BLM3TIDR}

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	2026-05-18T00:45:50.519125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6123025afc3759b1ace29782b66e681c78606bd1d1fe3a4f94c6f38568854381

Aliases

arxiv: 1404.3645 · arxiv_version: 1404.3645v3 · doi: 10.48550/arxiv.1404.3645 · pith_short_12: MERQEWX4G5M3 · pith_short_16: MERQEWX4G5M3DLHC · pith_short_8: MERQEWX4

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/MERQEWX4G5M3DLHCS6BLM3TIDR \
  | 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: 6123025afc3759b1ace29782b66e681c78606bd1d1fe3a4f94c6f38568854381

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a06e6eed46ec02204346881902f122a5d56d0595bb55bae150a0b0611aee0275",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-04-14T16:33:01Z",
    "title_canon_sha256": "5d27cbe0f18ed1f17f8b4112929e7628deb55edd3db2f2257b6c34158a38dec1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.3645",
    "kind": "arxiv",
    "version": 3
  }
}