Pith Number

pith:N5BJLCX4

pith:2026:N5BJLCX4EXW3BOE26VGAO2SH4H

not attested not anchored not stored refs pending

Half-Step-Invariant Sets, Admissible Maps, and Classical Orthogonal Polynomials

K. Castillo

arxiv:2605.27542 v1 · 2026-05-26 · 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{N5BJLCX4EXW3BOE26VGAO2SH4H}

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	2026-05-28T01:04:14.911914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f42958afc25edb0b89af54c076a47e1e2eea29d400b4de24c50ba58cba0f41c

Aliases

arxiv: 2605.27542 · arxiv_version: 2605.27542v1 · doi: 10.48550/arxiv.2605.27542 · pith_short_12: N5BJLCX4EXW3 · pith_short_16: N5BJLCX4EXW3BOE2 · pith_short_8: N5BJLCX4

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/N5BJLCX4EXW3BOE26VGAO2SH4H \
  | 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: 6f42958afc25edb0b89af54c076a47e1e2eea29d400b4de24c50ba58cba0f41c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e7be3c484f23dc2730ccfcd5711e83445bf473cf64d1fdba6dec1f6c59e8e04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-05-26T18:14:49Z",
    "title_canon_sha256": "0042a7a2c049c96154040d53b1d1b31adb196461779afd13d0644a02789e4a0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.27542",
    "kind": "arxiv",
    "version": 1
  }
}