pith. sign in
Pith Number

pith:37EJZRGO

pith:2016:37EJZRGOYXC7J6L52EBO2VA2A5
not attested not anchored not stored refs pending

Possibilities Determine the Combinatorial Structure of Probability Polytopes

Kohei Kishida, Raymond Lal, Rui Soares Barbosa, Samson Abramsky, Shane Mansfield

arxiv:1603.07735 v1 · 2016-03-24 · quant-ph · cs.LO · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{37EJZRGOYXC7J6L52EBO2VA2A5}

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 2026-05-18T00:12:00.983779Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

dfc89cc4cec5c5f4f97dd102ed541a075ce192048d58af6484106090a7aff0de

Aliases

arxiv: 1603.07735 · arxiv_version: 1603.07735v1 · doi: 10.48550/arxiv.1603.07735 · pith_short_12: 37EJZRGOYXC7 · pith_short_16: 37EJZRGOYXC7J6L5 · pith_short_8: 37EJZRGO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/37EJZRGOYXC7J6L52EBO2VA2A5 \
  | 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: dfc89cc4cec5c5f4f97dd102ed541a075ce192048d58af6484106090a7aff0de
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0b70ec6ded333771a9eea9b528c6d5354b4e395c6f7e2bcdfbb878c713d9b428",
    "cross_cats_sorted": [
      "cs.LO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-03-24T20:03:46Z",
    "title_canon_sha256": "ce24a51be016700649d213502a8d8f282ebb21ad4ca72e2ff53c0c52a29abe89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07735",
    "kind": "arxiv",
    "version": 1
  }
}