Pith Number

pith:OECQ2A7H

pith:2011:OECQ2A7H2HUZ24E76FTONYP2UI

not attested not anchored not stored refs pending

The It\^o exponential on Lie Groups

Sim\~ao N. Stelmastchuk

arxiv:1106.5637 v2 · 2011-06-28 · 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{OECQ2A7H2HUZ24E76FTONYP2UI}

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	2026-05-18T03:25:04.415401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71050d03e7d1e99d709ff166e6e1faa23436dbcee05b15e63dcabf433a907074

Aliases

arxiv: 1106.5637 · arxiv_version: 1106.5637v2 · doi: 10.48550/arxiv.1106.5637 · pith_short_12: OECQ2A7H2HUZ · pith_short_16: OECQ2A7H2HUZ24E7 · pith_short_8: OECQ2A7H

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/OECQ2A7H2HUZ24E76FTONYP2UI \
  | 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: 71050d03e7d1e99d709ff166e6e1faa23436dbcee05b15e63dcabf433a907074

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a34789aafcfdf7e7d3232e78a2be341cee14fc1df6c17b7ec5af01db56aac50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-06-28T12:09:13Z",
    "title_canon_sha256": "eb396120f741cde2a90b91d204c100f307a8c027bf33f90c0f16048eb2c8e8d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5637",
    "kind": "arxiv",
    "version": 2
  }
}