Pith Number

pith:BBR2MVJP

pith:2016:BBR2MVJPSWYSMDP3KAHCEUBGEY

not attested not anchored not stored refs pending

Equational Axioms for Expected Value Operators

Jan A. Bergstra

arxiv:1609.02812 v5 · 2016-09-09 · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BBR2MVJPSWYSMDP3KAHCEUBGEY}

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	2026-05-17T23:45:10.246687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0863a6552f95b1260dfb500e225026263500351d0cfd7c6daaf87bdb8009c5bf

Aliases

arxiv: 1609.02812 · arxiv_version: 1609.02812v5 · doi: 10.48550/arxiv.1609.02812 · pith_short_12: BBR2MVJPSWYS · pith_short_16: BBR2MVJPSWYSMDP3 · pith_short_8: BBR2MVJP

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/BBR2MVJPSWYSMDP3KAHCEUBGEY \
  | 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: 0863a6552f95b1260dfb500e225026263500351d0cfd7c6daaf87bdb8009c5bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a169d0b0c58f704c8f66d4fca1c805b1a9f2b335b4ad21c62fbcc7fbf97afed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-09-09T14:31:56Z",
    "title_canon_sha256": "3ba517dddb4765f1010d794d9eb4ced78a56fd2368fd38535e1170d2d8b1042d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02812",
    "kind": "arxiv",
    "version": 5
  }
}