Pith Number

pith:DD2W3YRF

pith:1998:DD2W3YRFG7ANZKHAWKRKECFMM5

not attested not anchored not stored refs pending

The curvature invariant of a Hilbert module over C[z_1,...,z_d]

William Arveson

arxiv:math/9808100 v1 · 1998-08-23 · 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{DD2W3YRFG7ANZKHAWKRKECFMM5}

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	2026-07-04T14:40:46.052796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18f56de22537c0dca8e0b2a2a208ac67426deac448b0d6902f368d292def1ad9

Aliases

arxiv: math/9808100 · arxiv_version: math/9808100v1 · doi: 10.48550/arxiv.math/9808100 · pith_short_12: DD2W3YRFG7AN · pith_short_16: DD2W3YRFG7ANZKHA · pith_short_8: DD2W3YRF

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/DD2W3YRFG7ANZKHAWKRKECFMM5 \
  | 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: 18f56de22537c0dca8e0b2a2a208ac67426deac448b0d6902f368d292def1ad9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "257e246ca4195ee368515a87d95c645f56f6f0c90f56685e615e9689cac22c4e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "1998-08-23T21:57:10Z",
    "title_canon_sha256": "2b250d53e163140bec31297ad6854ac123662ffdaa61e9e88f0178e59a6aaa9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9808100",
    "kind": "arxiv",
    "version": 1
  }
}