Pith Number

pith:TOS7TSZM

pith:2012:TOS7TSZM5B4VFSX75R4TWX4KU3

not attested not anchored not stored refs pending

Asymptotic behaviour of zeros of exceptional Jacobi and Laguerre polynomials

David G\'omez-Ullate, Francisco Marcell\'an, Robert Milson

arxiv:1204.2282 v1 · 2012-04-10 · math.CA · math-ph · 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{TOS7TSZM5B4VFSX75R4TWX4KU3}

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	2026-05-18T03:21:54.154867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ba5f9cb2ce87952caffec793b5f8aa6e4215e907b1099fd830a213112e30b55

Aliases

arxiv: 1204.2282 · arxiv_version: 1204.2282v1 · doi: 10.48550/arxiv.1204.2282 · pith_short_12: TOS7TSZM5B4V · pith_short_16: TOS7TSZM5B4VFSX7 · pith_short_8: TOS7TSZM

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/TOS7TSZM5B4VFSX75R4TWX4KU3 \
  | 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: 9ba5f9cb2ce87952caffec793b5f8aa6e4215e907b1099fd830a213112e30b55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33d3fa53f4a8db6b2ea5051faed5d1944580de5a5e1323077ef777003aed9c90",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-04-10T20:49:21Z",
    "title_canon_sha256": "87dca80fa62645c2994b1eb0d21e2736d8e64501603a158f6ebd2a093303af4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2282",
    "kind": "arxiv",
    "version": 1
  }
}