Pith Number

pith:DHHAUDD6

pith:2015:DHHAUDD6NO6PXZUAYVHSBTQYNM

not attested not anchored not stored refs pending

Recurrence Relations of the Multi-Indexed Orthogonal Polynomials : III

Satoru Odake

arxiv:1509.08213 v2 · 2015-09-28 · math-ph · hep-th · math.CA · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DHHAUDD6NO6PXZUAYVHSBTQYNM}

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	2026-05-18T01:21:08.444122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19ce0a0c7e6bbcfbe680c54f20ce186b18db49c1a823cd1574cfc516ce9ab458

Aliases

arxiv: 1509.08213 · arxiv_version: 1509.08213v2 · doi: 10.48550/arxiv.1509.08213 · pith_short_12: DHHAUDD6NO6P · pith_short_16: DHHAUDD6NO6PXZUA · pith_short_8: DHHAUDD6

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/DHHAUDD6NO6PXZUAYVHSBTQYNM \
  | 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: 19ce0a0c7e6bbcfbe680c54f20ce186b18db49c1a823cd1574cfc516ce9ab458

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93700e347aa334261188a0a7aafbc1dbe22ac8d3fae65032022bd408f8bc4e34",
    "cross_cats_sorted": [
      "hep-th",
      "math.CA",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-09-28T06:47:33Z",
    "title_canon_sha256": "b97e9fe0bee61333168dc906793717eb60cd0d86139523ca10919cc1d59f1666"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08213",
    "kind": "arxiv",
    "version": 2
  }
}