Pith Number

pith:GF2BQBAT

pith:2011:GF2BQBATN52UASM3TL5AWRIDQD

not attested not anchored not stored refs pending

Affine processes on symmetric cones

Christa Cuchiero, Eberhard Mayerhofer, Josef Teichmann, Martin Keller-Ressel

arxiv:1112.1233 v1 · 2011-12-06 · 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{GF2BQBATN52UASM3TL5AWRIDQD}

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	2026-05-18T04:06:55.942540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31741804136f7540499b9afa0b450380c82b76f339b759bed70d097adccdc2b9

Aliases

arxiv: 1112.1233 · arxiv_version: 1112.1233v1 · doi: 10.48550/arxiv.1112.1233 · pith_short_12: GF2BQBATN52U · pith_short_16: GF2BQBATN52UASM3 · pith_short_8: GF2BQBAT

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/GF2BQBATN52UASM3TL5AWRIDQD \
  | 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: 31741804136f7540499b9afa0b450380c82b76f339b759bed70d097adccdc2b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e697481cf3d1eafc9df96437d5df178a0d314ee69cf9fb0768202e9e4fc484e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-06T11:17:44Z",
    "title_canon_sha256": "e5b5bb3a9dde1ae09aaa679049508054ec1d828c1e5807da0e0db8e674680d24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1233",
    "kind": "arxiv",
    "version": 1
  }
}