Pith Number

pith:IBEAJUTL

pith:2013:IBEAJUTLKUP5I3RF75NO5NGKNP

not attested not anchored not stored refs pending

Complex versus real orthogonal polynomials of two variables

Yuan Xu

arxiv:1307.7819 v1 · 2013-07-30 · 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{IBEAJUTLKUP5I3RF75NO5NGKNP}

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	2026-05-18T03:17:13.418635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

404804d26b551fd46e25ff5aeeb4ca6bf7c764d419afb668af3b0e3e32017ae4

Aliases

arxiv: 1307.7819 · arxiv_version: 1307.7819v1 · doi: 10.48550/arxiv.1307.7819 · pith_short_12: IBEAJUTLKUP5 · pith_short_16: IBEAJUTLKUP5I3RF · pith_short_8: IBEAJUTL

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/IBEAJUTLKUP5I3RF75NO5NGKNP \
  | 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: 404804d26b551fd46e25ff5aeeb4ca6bf7c764d419afb668af3b0e3e32017ae4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5e98d20c47b6fe0a1839bd34a9fcfbdb41eb0406c53aca5bda3edc3b7cfb8cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-07-30T05:09:49Z",
    "title_canon_sha256": "e2920b131e1eac3a4f09f6a8dec59983f02ef193855ceef76930391e6c2bcfde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7819",
    "kind": "arxiv",
    "version": 1
  }
}