Pith Number

pith:PAF4Q7I2

pith:2011:PAF4Q7I2CX3TVM7ZLG4XWI632B

not attested not anchored not stored refs pending

On q-Berstein and q-Hermite polynomials

C. S. Ryoo, J. Choi, T. Kim, Y. H. Kim

arxiv:1101.4931 v1 · 2011-01-24 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PAF4Q7I2CX3TVM7ZLG4XWI632B}

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	2026-05-18T04:30:58.651687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

780bc87d1a15f73ab3f959b97b23dbd05a8eb18b02ad1c92d196d979ce182891

Aliases

arxiv: 1101.4931 · arxiv_version: 1101.4931v1 · doi: 10.48550/arxiv.1101.4931 · pith_short_12: PAF4Q7I2CX3T · pith_short_16: PAF4Q7I2CX3TVM7Z · pith_short_8: PAF4Q7I2

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/PAF4Q7I2CX3TVM7ZLG4XWI632B \
  | 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: 780bc87d1a15f73ab3f959b97b23dbd05a8eb18b02ad1c92d196d979ce182891

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3db8a20da7509ff877bd0b0ced6541908e3a957d5eb1d829cb2eb3c586041b6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-01-24T09:23:01Z",
    "title_canon_sha256": "d03cc8325519e8add27d76ba67685ab3df63e09ed4b70cef6e65f1ee9bb17cd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4931",
    "kind": "arxiv",
    "version": 1
  }
}