Pith Number

pith:EO2M4E3L

pith:2011:EO2M4E3L5KCF4O4D4F7EHWN2MC

not attested not anchored not stored refs pending

Positive Kernels and Quantization

Anatol Odzijewicz, Maciej Horowski

arxiv:1110.3683 v2 · 2011-10-17 · 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{EO2M4E3L5KCF4O4D4F7EHWN2MC}

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	2026-05-18T03:48:35.558565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23b4ce136bea845e3b83e17e43d9ba60b368f61505612639cf5f9892207f5dde

Aliases

arxiv: 1110.3683 · arxiv_version: 1110.3683v2 · doi: 10.48550/arxiv.1110.3683 · pith_short_12: EO2M4E3L5KCF · pith_short_16: EO2M4E3L5KCF4O4D · pith_short_8: EO2M4E3L

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/EO2M4E3L5KCF4O4D4F7EHWN2MC \
  | 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: 23b4ce136bea845e3b83e17e43d9ba60b368f61505612639cf5f9892207f5dde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64e76b311d1ba4fe0c3b2b1e60c215c554124303bb9f6a8f259d357a1528a9b8",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-10-17T14:49:53Z",
    "title_canon_sha256": "38a1d579c29e144444eb695254751f8d2c4d425f2e52eacfdd8f7a8c969c9a05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3683",
    "kind": "arxiv",
    "version": 2
  }
}