Pith Number

pith:PJKUKO2P

pith:2019:PJKUKO2PDHO552P2GLEOIXHGC7

not attested not anchored not stored refs pending

Plactic monoids satisfy nontrivial identities

Jan Okni\'nski

arxiv:1902.06251 v3 · 2019-02-17 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PJKUKO2PDHO552P2GLEOIXHGC7}

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	2026-05-17T23:49:08.840477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a55453b4f19dddee9fa32c8e45ce617e236445978ba43f5bc39e962c8f1056d

Aliases

arxiv: 1902.06251 · arxiv_version: 1902.06251v3 · doi: 10.48550/arxiv.1902.06251 · pith_short_12: PJKUKO2PDHO5 · pith_short_16: PJKUKO2PDHO552P2 · pith_short_8: PJKUKO2P

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/PJKUKO2PDHO552P2GLEOIXHGC7 \
  | 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: 7a55453b4f19dddee9fa32c8e45ce617e236445978ba43f5bc39e962c8f1056d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a302ec9dd50376819b94eed1b45b390437f985cace2b90ec7c165ef4197b241",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-02-17T12:40:53Z",
    "title_canon_sha256": "2496f85e998842493bf9ab7bb2ca361208dca3843d3d2c71403cc8732b6dde71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.06251",
    "kind": "arxiv",
    "version": 3
  }
}