Pith Number

pith:HV4B4PWD

pith:2021:HV4B4PWDDRVZFG7GT62DRRDABV

not attested not anchored not stored refs pending

Superintegrability of matrix Student's distribution

A. Mironov, A. Morozov, A. Popolitov

arxiv:2107.13381 v2 · 2021-07-28 · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HV4B4PWDDRVZFG7GT62DRRDABV}

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	2026-07-05T03:40:41.198434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d781e3ec31c6b929be69fb438c4600d57c0cef62dc9f957940893501b510893

Aliases

arxiv: 2107.13381 · arxiv_version: 2107.13381v2 · doi: 10.48550/arxiv.2107.13381 · pith_short_12: HV4B4PWDDRVZ · pith_short_16: HV4B4PWDDRVZFG7G · pith_short_8: HV4B4PWD

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/HV4B4PWDDRVZFG7GT62DRRDABV \
  | 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: 3d781e3ec31c6b929be69fb438c4600d57c0cef62dc9f957940893501b510893

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1da9b29239a9022174af8dcda7390d9a74d4bbeb306dd07ce68c0cf59c970998",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-07-28T14:11:45Z",
    "title_canon_sha256": "688750d8984fb7413ce2ef4788b2ae00f97c1ec994399ac69d7caaa33af0494e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.13381",
    "kind": "arxiv",
    "version": 2
  }
}