Pith Number

pith:MQSZLRXE

pith:2014:MQSZLRXEXQXZSXRW65JQ53PUEC

not attested not anchored not stored refs pending

Regularity of the Ito-Lyons map

I. Bailleul

arxiv:1401.1147 v3 · 2014-01-06 · math.PR · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MQSZLRXEXQXZSXRW65JQ53PUEC}

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	2026-05-18T02:17:33.911548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

642595c6e4bc2f995e36f7530eedf420ab54f2c6baa649a1f6cbd23d20b10490

Aliases

arxiv: 1401.1147 · arxiv_version: 1401.1147v3 · doi: 10.48550/arxiv.1401.1147 · pith_short_12: MQSZLRXEXQXZ · pith_short_16: MQSZLRXEXQXZSXRW · pith_short_8: MQSZLRXE

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/MQSZLRXEXQXZSXRW65JQ53PUEC \
  | 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: 642595c6e4bc2f995e36f7530eedf420ab54f2c6baa649a1f6cbd23d20b10490

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aeca6b1ad748428df6f5b372645f0e1494701a500dd2fe3e6b0693f64035b87e",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-01-06T17:25:54Z",
    "title_canon_sha256": "b4f1ef4142ce5afb06f0f30196020bfcc717338374ca345bc40a7b66e7cf454c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.1147",
    "kind": "arxiv",
    "version": 3
  }
}