Pith Number

pith:CHBC6NG2

pith:2010:CHBC6NG2OWHP2YAVHOLBOGXQ2R

not attested not anchored not stored refs pending

Noncommutative Biorthogonal Polynomials

Emily Sergel

arxiv:1009.5472 v2 · 2010-09-28 · math.QA · math-ph · math.MP · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CHBC6NG2OWHP2YAVHOLBOGXQ2R}

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	2026-05-18T04:23:13.139845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11c22f34da758efd60153b96171af0d468dac1913ae9f1a28a098630cdd493b3

Aliases

arxiv: 1009.5472 · arxiv_version: 1009.5472v2 · doi: 10.48550/arxiv.1009.5472 · pith_short_12: CHBC6NG2OWHP · pith_short_16: CHBC6NG2OWHP2YAV · pith_short_8: CHBC6NG2

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/CHBC6NG2OWHP2YAVHOLBOGXQ2R \
  | 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: 11c22f34da758efd60153b96171af0d468dac1913ae9f1a28a098630cdd493b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f94a4f0d5d38f60dbf8943bf9a25ac1af91b85eaaa8b1dc76dbfcae7e798a78",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-09-28T07:08:37Z",
    "title_canon_sha256": "547c8b17860e654351c3b8153c899a91d854ebb428df740c19cedb02a57739bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5472",
    "kind": "arxiv",
    "version": 2
  }
}