Pith Number

pith:YNU4MSMO

pith:2016:YNU4MSMOBKN2WRATVSLVJMUE4H

not attested not anchored not stored refs pending

Szeg\"o kernels and asymptotic expansions for Legendre polynomials

Roberto Paoletti

arxiv:1612.05009 v1 · 2016-12-15 · math.CA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YNU4MSMOBKN2WRATVSLVJMUE4H}

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	2026-05-18T00:54:53.652806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c369c6498e0a9bab4413ac9754b284e1c5d98f0d0cb662d8acddae46bd63e353

Aliases

arxiv: 1612.05009 · arxiv_version: 1612.05009v1 · doi: 10.48550/arxiv.1612.05009 · pith_short_12: YNU4MSMOBKN2 · pith_short_16: YNU4MSMOBKN2WRAT · pith_short_8: YNU4MSMO

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/YNU4MSMOBKN2WRATVSLVJMUE4H \
  | 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: c369c6498e0a9bab4413ac9754b284e1c5d98f0d0cb662d8acddae46bd63e353

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdf3db5d435ebe3c4969fa5e3c3e17ac42bcbdbfec5c4cbb64dca8ebb23a650c",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-12-15T10:49:16Z",
    "title_canon_sha256": "ead6bcb24fae2c6200caae40306c8c2b56246684b6e184bd0f09303200619507"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05009",
    "kind": "arxiv",
    "version": 1
  }
}