Pith Number

pith:LSWFWGLS

pith:2015:LSWFWGLSMWKHAA7KSOCQZCBHWC

not attested not anchored not stored refs pending

Non-commutative polynomials with convex level slices

Harry Dym, J. William Helton, Scott McCullough

arxiv:1512.02983 v2 · 2015-12-09 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LSWFWGLSMWKHAA7KSOCQZCBHWC}

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	2026-05-18T00:42:07.843247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cac5b197265947003ea93850c8827b0aba939671457a6e3a1d9175b635b72d6

Aliases

arxiv: 1512.02983 · arxiv_version: 1512.02983v2 · doi: 10.48550/arxiv.1512.02983 · pith_short_12: LSWFWGLSMWKH · pith_short_16: LSWFWGLSMWKHAA7K · pith_short_8: LSWFWGLS

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/LSWFWGLSMWKHAA7KSOCQZCBHWC \
  | 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: 5cac5b197265947003ea93850c8827b0aba939671457a6e3a1d9175b635b72d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a10ef12efa4dddde49374904af8a89aaf220c4260b4cdedea5697ad15ec3719",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-12-09T18:33:37Z",
    "title_canon_sha256": "aa6f8567565a6a43a0c5e00ca755e5024137b128e498ab4e3c6a9496f0add8af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02983",
    "kind": "arxiv",
    "version": 2
  }
}