Pith Number

pith:EBU24K5L

pith:2015:EBU24K5L3SBE654DH32T355PPL

not attested not anchored not stored refs pending

Mobius operators and non-additive quantum probabilities in the Birkhoff-von Neumann lattice

A. Vourdas

arxiv:1512.07846 v1 · 2015-12-24 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EBU24K5L3SBE654DH32T355PPL}

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	2026-05-18T01:20:40.839887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2069ae2babdc824f77833ef53df7af7ad2e22f7349f3b4d845487c42a272ae81

Aliases

arxiv: 1512.07846 · arxiv_version: 1512.07846v1 · doi: 10.48550/arxiv.1512.07846 · pith_short_12: EBU24K5L3SBE · pith_short_16: EBU24K5L3SBE654D · pith_short_8: EBU24K5L

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/EBU24K5L3SBE654DH32T355PPL \
  | 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: 2069ae2babdc824f77833ef53df7af7ad2e22f7349f3b4d845487c42a272ae81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6e80331e7dfcbec23bcdcc6d5c3588251d50933d8e6c23e27ae0d28ef876de4",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-12-24T16:14:44Z",
    "title_canon_sha256": "9fe1257217f2609f0e7efcbb7beb25b66762b30b0d98099941b67043a8b559a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07846",
    "kind": "arxiv",
    "version": 1
  }
}