Pith Number

pith:C5XKXN76

pith:2019:C5XKXN76ENRVC2MZWRCM2ELKKE

not attested not anchored not stored refs pending

Mathieu-Zhao spaces of polynomial rings

Arno van den Essen, Loes van Hove

arxiv:1907.06106 v1 · 2019-07-13 · math.AC · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C5XKXN76ENRVC2MZWRCM2ELKKE}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-17T23:40:42.419710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

176eabb7fe2363516999b444cd116a511bfba2c12aff74853cce939848e439e1

Aliases

arxiv: 1907.06106 · arxiv_version: 1907.06106v1 · doi: 10.48550/arxiv.1907.06106 · pith_short_12: C5XKXN76ENRV · pith_short_16: C5XKXN76ENRVC2MZ · pith_short_8: C5XKXN76

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/C5XKXN76ENRVC2MZWRCM2ELKKE \
  | 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: 176eabb7fe2363516999b444cd116a511bfba2c12aff74853cce939848e439e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23370a1f9ebffc608a71895b49996bb67a1d6ea548b135450ee38b52b4512d8c",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-07-13T16:50:08Z",
    "title_canon_sha256": "5c4b9d0047660c1c5befe01e4011c95e0e911fe1764f38fa6b46bec6c58516ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.06106",
    "kind": "arxiv",
    "version": 1
  }
}