Pith Number

pith:BFFAYWV6

pith:2019:BFFAYWV6CEITDEPO2ZHJRZLOGX

not attested not anchored not stored refs pending

Tropical diagrams of probability spaces

Jacobus W. Portegies, Rostislav Matveev

arxiv:1905.04375 v2 · 2019-05-08 · math.DS · cs.IT · math.IT · 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{BFFAYWV6CEITDEPO2ZHJRZLOGX}

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	2026-05-17T23:46:02.957190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

094a0c5abe11113191eed64e98e56e35cccb3ea9f04c807de4af7cefb0d90600

Aliases

arxiv: 1905.04375 · arxiv_version: 1905.04375v2 · doi: 10.48550/arxiv.1905.04375 · pith_short_12: BFFAYWV6CEIT · pith_short_16: BFFAYWV6CEITDEPO · pith_short_8: BFFAYWV6

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/BFFAYWV6CEITDEPO2ZHJRZLOGX \
  | 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: 094a0c5abe11113191eed64e98e56e35cccb3ea9f04c807de4af7cefb0d90600

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbdc694cc1a8e130f5c94e56e70dbcbc9a757296bde118962cae29a232f1aa16",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-05-08T13:32:55Z",
    "title_canon_sha256": "035b2de9a28bd7ffa4f5a4fa7b210dca5eca57198617aa1647eb8e573180829c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.04375",
    "kind": "arxiv",
    "version": 2
  }
}