Pith Number

pith:FXHHAEHR

pith:2013:FXHHAEHRUJTY6H2LYIS4EC2VDI

not attested not anchored not stored refs pending

Multi-indexed Jacobi polynomials and Maya diagrams

Kouichi Takemura

arxiv:1311.3570 v1 · 2013-11-14 · math-ph · math.CA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FXHHAEHRUJTY6H2LYIS4EC2VDI}

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	2026-05-18T00:25:08.239582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dce7010f1a2678f1f4bc225c20b551a0dc6078cdc1bd7afa226740e6a3aaab6

Aliases

arxiv: 1311.3570 · arxiv_version: 1311.3570v1 · doi: 10.48550/arxiv.1311.3570 · pith_short_12: FXHHAEHRUJTY · pith_short_16: FXHHAEHRUJTY6H2L · pith_short_8: FXHHAEHR

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/FXHHAEHRUJTY6H2LYIS4EC2VDI \
  | 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: 2dce7010f1a2678f1f4bc225c20b551a0dc6078cdc1bd7afa226740e6a3aaab6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "424d3efb1034b0ff152e95f4a3b99e1553ac30bd392f499244105e33ae452da6",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-11-14T16:32:08Z",
    "title_canon_sha256": "8d16df2acfb3c25415cf2f808e15a6fed84d1cc5382572a4743210a72ca086f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3570",
    "kind": "arxiv",
    "version": 1
  }
}