Pith Number

pith:5BVU2SJK

pith:2010:5BVU2SJKF4NXZNRIZZ67L2NO7U

not attested not anchored not stored refs pending

Direct images, fields of Hilbert spaces, and geometric quantization

L\'aszl\'o Lempert, R\'obert Sz\H{o}ke

arxiv:1004.4863 v2 · 2010-04-27 · math-ph · math.CV · 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{5BVU2SJKF4NXZNRIZZ67L2NO7U}

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	2026-05-18T02:24:15.751891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e86b4d492a2f1b7cb628ce7df5e9aefd2f864c1960d5a2312df7cc58cc06491a

Aliases

arxiv: 1004.4863 · arxiv_version: 1004.4863v2 · doi: 10.48550/arxiv.1004.4863 · pith_short_12: 5BVU2SJKF4NX · pith_short_16: 5BVU2SJKF4NXZNRI · pith_short_8: 5BVU2SJK

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/5BVU2SJKF4NXZNRIZZ67L2NO7U \
  | 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: e86b4d492a2f1b7cb628ce7df5e9aefd2f864c1960d5a2312df7cc58cc06491a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8d43721d0a15287d349ac295583e620ae21851be38d3c923b1bd386b3786e55",
    "cross_cats_sorted": [
      "math.CV",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-04-27T16:52:18Z",
    "title_canon_sha256": "d7e645049b4ee981d900fc7582732e9826732d79dc957c9970b86d50dc3f9756"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4863",
    "kind": "arxiv",
    "version": 2
  }
}