Pith Number

pith:3GJZQVYF

pith:2019:3GJZQVYF4NKRBIVR7QYUAM54P2

not attested not anchored not stored refs pending

Algebras of the extended probabilistic powerdomain monad

Jean Goubault-Larrecq, Xiaodong Jia

arxiv:1903.07472 v3 · 2019-03-18 · math.GN · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3GJZQVYF4NKRBIVR7QYUAM54P2}

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	2026-05-17T23:50:40.539874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d993985705e35510a2b1fc314033bc7e82ea4de78a4fa5fb3691172402cf13a2

Aliases

arxiv: 1903.07472 · arxiv_version: 1903.07472v3 · doi: 10.48550/arxiv.1903.07472 · pith_short_12: 3GJZQVYF4NKR · pith_short_16: 3GJZQVYF4NKRBIVR · pith_short_8: 3GJZQVYF

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/3GJZQVYF4NKRBIVR7QYUAM54P2 \
  | 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: d993985705e35510a2b1fc314033bc7e82ea4de78a4fa5fb3691172402cf13a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4daab6938f88e0c0986719d909d2cf94b5d5e158b5baf0756cd296cfdc567ae9",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2019-03-18T14:26:47Z",
    "title_canon_sha256": "1379e1dfe22f90bf35512438bc608951b36d7ade3019783c33fee5e13b17cbc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.07472",
    "kind": "arxiv",
    "version": 3
  }
}