Pith Number

pith:H6ZSIJIL

pith:2009:H6ZSIJILJYFN335APU3ZWNGG7S

not attested not anchored not stored refs pending

Analytic mappings between noncommutative pencil balls

Igor Klep, J. William Helton, Scott McCullough

arxiv:0908.0742 v2 · 2009-08-05 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H6ZSIJILJYFN335APU3ZWNGG7S}

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	2026-05-18T04:24:06.411220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fb324250b4e0addefa07d379b34c6fca2b15e02dc6847d8fce2b1b78e95e774

Aliases

arxiv: 0908.0742 · arxiv_version: 0908.0742v2 · doi: 10.48550/arxiv.0908.0742 · pith_short_12: H6ZSIJILJYFN · pith_short_16: H6ZSIJILJYFN335A · pith_short_8: H6ZSIJIL

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/H6ZSIJILJYFN335APU3ZWNGG7S \
  | 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: 3fb324250b4e0addefa07d379b34c6fca2b15e02dc6847d8fce2b1b78e95e774

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90437a4ca103a2147e75ea0cbd1c7035982155f850b160071d8a1bb478d29d27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2009-08-05T20:10:40Z",
    "title_canon_sha256": "d1eb9ea66fa38784e4744b656a47934b81d776078f657fcb3dbc8c18f0701f03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.0742",
    "kind": "arxiv",
    "version": 2
  }
}