Pith Number

pith:GPX2KCBX

pith:2017:GPX2KCBXRTZ5E5ED6OQM2LOV7N

not attested not anchored not stored refs pending

Matrix valued commuting differential operators with $A_2$ symmetry

Nobukazu shimeno

arxiv:1709.07163 v1 · 2017-09-21 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GPX2KCBXRTZ5E5ED6OQM2LOV7N}

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	2026-05-18T00:34:36.421071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33efa508378cf3d27483f3a0cd2dd5fb7b75ffb8adee12d3a21cbd930ace4995

Aliases

arxiv: 1709.07163 · arxiv_version: 1709.07163v1 · doi: 10.48550/arxiv.1709.07163 · pith_short_12: GPX2KCBXRTZ5 · pith_short_16: GPX2KCBXRTZ5E5ED · pith_short_8: GPX2KCBX

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/GPX2KCBXRTZ5E5ED6OQM2LOV7N \
  | 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: 33efa508378cf3d27483f3a0cd2dd5fb7b75ffb8adee12d3a21cbd930ace4995

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2003149a029cb3f3ae3532a6b0b3376553eeb2edad3afb1eb58a78a9514352f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-09-21T05:43:26Z",
    "title_canon_sha256": "bf781754551d9ed3c1e0b4a2d401db5de11989095741e6c5e9c7847fa20d8487"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.07163",
    "kind": "arxiv",
    "version": 1
  }
}