Pith Number

pith:24AXDLUC

pith:2011:24AXDLUC43KIHCRC3JHAB2AMVT

not attested not anchored not stored refs pending

Exponential moments of affine processes

Eberhard Mayerhofer, Martin Keller-Ressel

arxiv:1111.1659 v3 · 2011-11-07 · 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{24AXDLUC43KIHCRC3JHAB2AMVT}

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	2026-05-18T02:24:36.157867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d70171ae82e6d4838a22da4e00e80cacd64b6d89b75f28511191fdaa1b950261

Aliases

arxiv: 1111.1659 · arxiv_version: 1111.1659v3 · doi: 10.48550/arxiv.1111.1659 · pith_short_12: 24AXDLUC43KI · pith_short_16: 24AXDLUC43KIHCRC · pith_short_8: 24AXDLUC

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/24AXDLUC43KIHCRC3JHAB2AMVT \
  | 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: d70171ae82e6d4838a22da4e00e80cacd64b6d89b75f28511191fdaa1b950261

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "569ed2a8ec87821d9e096bcbd4728f877745dba958c110408a46dd749663192f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-07T17:44:27Z",
    "title_canon_sha256": "5627dfc8ce27344f521344090352706eca93ec447aee1b69b0df8fca5b5849f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1659",
    "kind": "arxiv",
    "version": 3
  }
}