Pith Number

pith:6J7TPO6L

pith:2012:6J7TPO6LRXUO2MLAQ2HXVBZD67

not attested not anchored not stored refs pending

Noncommutative Harmonic and Subharmonic Polynomials and other Noncommutative Partial Differential Equations

Christopher Nelson

arxiv:1205.2733 v1 · 2012-05-11 · 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{6J7TPO6LRXUO2MLAQ2HXVBZD67}

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	2026-05-18T03:55:23.915454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f27f37bbcb8de8ed3160868f7a8723f7f9f59839a89e2fe2226ead08dc6f4db9

Aliases

arxiv: 1205.2733 · arxiv_version: 1205.2733v1 · doi: 10.48550/arxiv.1205.2733 · pith_short_12: 6J7TPO6LRXUO · pith_short_16: 6J7TPO6LRXUO2MLA · pith_short_8: 6J7TPO6L

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/6J7TPO6LRXUO2MLAQ2HXVBZD67 \
  | 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: f27f37bbcb8de8ed3160868f7a8723f7f9f59839a89e2fe2226ead08dc6f4db9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "084a58be25e350f8218fd5a46d16f5b257a3dfe355198abb8ab007e8237770f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-05-11T22:33:57Z",
    "title_canon_sha256": "421b6ada0b71049529b535cd4cbdd22ae11a6966c08454dd7b785135c40cc4b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2733",
    "kind": "arxiv",
    "version": 1
  }
}