Pith Number

pith:JY4MLLFZ

pith:2013:JY4MLLFZPHYIFQRKORRWV7A2MD

not attested not anchored not stored refs pending

Random normal matrices, Bergman kernel and projective embeddings

Semyon Klevtsov

arxiv:1309.7333 v2 · 2013-09-27 · hep-th · math-ph · math.DG · 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{JY4MLLFZPHYIFQRKORRWV7A2MD}

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	2026-05-18T03:00:36.966772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e38c5acb979f082c22a74636afc1a60c13feccea1406995ffe28ab5baf9b981

Aliases

arxiv: 1309.7333 · arxiv_version: 1309.7333v2 · doi: 10.48550/arxiv.1309.7333 · pith_short_12: JY4MLLFZPHYI · pith_short_16: JY4MLLFZPHYIFQRK · pith_short_8: JY4MLLFZ

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/JY4MLLFZPHYIFQRKORRWV7A2MD \
  | 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: 4e38c5acb979f082c22a74636afc1a60c13feccea1406995ffe28ab5baf9b981

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e680db13ba44d84ee337ece8f4366d512d5bd99fd7c1d7803067e192d50c68fc",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-09-27T19:09:57Z",
    "title_canon_sha256": "272a8098bc95568f6d018b17bf03a58005c4aa6188a2496ba814431793879972"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7333",
    "kind": "arxiv",
    "version": 2
  }
}