Pith Number

pith:3FAP53QT

pith:2009:3FAP53QTKVFOJILCJ7Z4BWRXF7

not attested not anchored not stored refs pending

Normal forms, Hermitian operators, and CR maps of spheres and hyperquadrics

Jiri Lebl

arxiv:0906.0325 v3 · 2009-06-01 · math.CV · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3FAP53QTKVFOJILCJ7Z4BWRXF7}

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	2026-05-18T04:08:22.435556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d940feee13554ae4a1624ff3c0da372fcbbf13b8ea0708d42af59fde7bbb0641

Aliases

arxiv: 0906.0325 · arxiv_version: 0906.0325v3 · doi: 10.48550/arxiv.0906.0325 · pith_short_12: 3FAP53QTKVFO · pith_short_16: 3FAP53QTKVFOJILC · pith_short_8: 3FAP53QT

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/3FAP53QTKVFOJILCJ7Z4BWRXF7 \
  | 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: d940feee13554ae4a1624ff3c0da372fcbbf13b8ea0708d42af59fde7bbb0641

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2ad678a352f606230c801c5a959a6c3f205601aab714bda67b0643e809c8516",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2009-06-01T17:43:24Z",
    "title_canon_sha256": "08e68116236ac531b0f09879800c6c7f835f9921370394587f2fb7d42d835264"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.0325",
    "kind": "arxiv",
    "version": 3
  }
}