Pith Number

pith:FVBPARQN

pith:2019:FVBPARQNMFXM67YF5XSREZJXK4

not attested not anchored not stored refs pending

Infinite products and zero-one laws in categorical probability

Eigil Fjeldgren Rischel, Tobias Fritz

arxiv:1912.02769 v6 · 2019-12-05 · math.CT · 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{FVBPARQNMFXM67YF5XSREZJXK4}

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.

Cited by

1 paper in Pith

Approaching the Continuous from the Discrete: an Infinite Tensor Product Construction

Receipt and verification

First computed	2026-07-05T08:52:21.055344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d42f0460d616ecf7f05ede5126537573bbaa6e2f0b394c5948290e5c54f3307

Aliases

arxiv: 1912.02769 · arxiv_version: 1912.02769v6 · doi: 10.48550/arxiv.1912.02769 · pith_short_12: FVBPARQNMFXM · pith_short_16: FVBPARQNMFXM67YF · pith_short_8: FVBPARQN

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/FVBPARQNMFXM67YF5XSREZJXK4 \
  | 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: 2d42f0460d616ecf7f05ede5126537573bbaa6e2f0b394c5948290e5c54f3307

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41ded164a5049e6b64dff67d5b5e5d4f0a79f10d2f158fa6f701079f0bd9ce89",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2019-12-05T18:03:01Z",
    "title_canon_sha256": "94f652847bebe91dfa9154c2e0b7f88ae1c6b6905becf17e4d0c123ce2b960ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.02769",
    "kind": "arxiv",
    "version": 6
  }
}