Pith Number

pith:VC6U63K4

pith:2011:VC6U63K45DQCVCZCM6W4ETZ3FV

not attested not anchored not stored refs pending

Cram\'er's theorem in measurable locally convex spaces

Pierre Petit

arxiv:1103.4416 v1 · 2011-03-22 · 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{VC6U63K45DQCVCZCM6W4ETZ3FV}

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	2026-05-18T04:26:02.102202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8bd4f6d5ce8e02a8b2267adc24f3b2d7bed8d9348081cd7003b80f848952e57

Aliases

arxiv: 1103.4416 · arxiv_version: 1103.4416v1 · doi: 10.48550/arxiv.1103.4416 · pith_short_12: VC6U63K45DQC · pith_short_16: VC6U63K45DQCVCZC · pith_short_8: VC6U63K4

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/VC6U63K45DQCVCZCM6W4ETZ3FV \
  | 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: a8bd4f6d5ce8e02a8b2267adc24f3b2d7bed8d9348081cd7003b80f848952e57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ce36571effa8cb7ba0be8298d22f6c22c6aacd4eb491957e26ba6ffeb54c550",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-03-22T23:40:28Z",
    "title_canon_sha256": "e0dd0113f3cfd51c5cb735e16130d7c6e985200677c92ee4bae4df97284a251c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4416",
    "kind": "arxiv",
    "version": 1
  }
}