Pith Number

pith:MLZWATQP

pith:2010:MLZWATQPV2QZWDL22ODRAPXAYF

not attested not anchored not stored refs pending

A symmetrized conjugacy scheme for orthogonal expansions

Adam Nowak, Krzysztof Stempak

arxiv:1009.1767 v1 · 2010-09-09 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MLZWATQPV2QZWDL22ODRAPXAYF}

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	2026-05-18T03:21:43.848598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62f3604e0faea19b0d7ad387103ee0c168d82130b09d720322d20ff3fd4db1b2

Aliases

arxiv: 1009.1767 · arxiv_version: 1009.1767v1 · doi: 10.48550/arxiv.1009.1767 · pith_short_12: MLZWATQPV2QZ · pith_short_16: MLZWATQPV2QZWDL2 · pith_short_8: MLZWATQP

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/MLZWATQPV2QZWDL22ODRAPXAYF \
  | 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: 62f3604e0faea19b0d7ad387103ee0c168d82130b09d720322d20ff3fd4db1b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25df00c147683ea31ebba1b8dbd39e5f830ea67acb27169b42f63dbc62884e71",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-09-09T13:12:16Z",
    "title_canon_sha256": "5877bf0b7017da03cdc50052201cf144e44fa852a5b6ed98f52cf078eea6c74a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1767",
    "kind": "arxiv",
    "version": 1
  }
}