Pith Number

pith:W4FNOILQ

pith:2019:W4FNOILQNAVIJMMQBQTECGN7RM

not attested not anchored not stored refs pending

2-positive almost order zero maps and decomposition rank

Yasuhiko Sato

arxiv:1908.03466 v2 · 2019-08-09 · math.OA · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W4FNOILQNAVIJMMQBQTECGN7RM}

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	2026-07-05T01:41:48.734776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b70ad72170682a84b1900c264119bf8b296feb8ecc90329689ee950ae92379a9

Aliases

arxiv: 1908.03466 · arxiv_version: 1908.03466v2 · doi: 10.48550/arxiv.1908.03466 · pith_short_12: W4FNOILQNAVI · pith_short_16: W4FNOILQNAVIJMMQ · pith_short_8: W4FNOILQ

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/W4FNOILQNAVIJMMQBQTECGN7RM \
  | 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: b70ad72170682a84b1900c264119bf8b296feb8ecc90329689ee950ae92379a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "316f046b940293479e38f32987787b2cf421d83e3208a565d721ff6b3fa12da5",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2019-08-09T14:10:51Z",
    "title_canon_sha256": "3e6c386f4fc3e30a5c72d964d6d569167ad225f35e8a9b689ad116dd90ffb2bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03466",
    "kind": "arxiv",
    "version": 2
  }
}