Pith Number

pith:HYHOVOJB

pith:2018:HYHOVOJBSLZ72APS3OGUH4J6ZR

not attested not anchored not stored refs pending

Three characterisations of the sequential product

John van de Wetering

arxiv:1803.08453 v1 · 2018-03-13 · math.OA · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HYHOVOJBSLZ72APS3OGUH4J6ZR}

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	2026-05-18T00:07:32.703284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e0eeab92192f3fd01f2db8d43f13ecc7ae5a7838766bcd55eb41e2f1ea1489e

Aliases

arxiv: 1803.08453 · arxiv_version: 1803.08453v1 · doi: 10.48550/arxiv.1803.08453 · pith_short_12: HYHOVOJBSLZ7 · pith_short_16: HYHOVOJBSLZ72APS · pith_short_8: HYHOVOJB

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/HYHOVOJBSLZ72APS3OGUH4J6ZR \
  | 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: 3e0eeab92192f3fd01f2db8d43f13ecc7ae5a7838766bcd55eb41e2f1ea1489e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c742c25ce594195a224fbf9ce7a1792baeee9f70d69c96137f0cd19c694eadd0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-03-13T14:46:51Z",
    "title_canon_sha256": "ec8a2f78030411bf0f1a92d7014b9ee52f1d2635855fdc9f3d6e62eb5cfa8651"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.08453",
    "kind": "arxiv",
    "version": 1
  }
}