Pith Number

pith:NTMLV3LO

pith:2015:NTMLV3LOR4EQUB7FP4GPLPXNP4

not attested not anchored not stored refs pending

Nevanlinna theory of the Askey-Wilson divided difference operator

Shaoji Feng, Yik-Man Chiang

arxiv:1502.02238 v4 · 2015-02-08 · 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{NTMLV3LOR4EQUB7FP4GPLPXNP4}

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	2026-05-18T00:24:32.089063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cd8baed6e8f090a07e57f0cf5beed7f03e77e542b4c2abe890716c86649535b

Aliases

arxiv: 1502.02238 · arxiv_version: 1502.02238v4 · doi: 10.48550/arxiv.1502.02238 · pith_short_12: NTMLV3LOR4EQ · pith_short_16: NTMLV3LOR4EQUB7F · pith_short_8: NTMLV3LO

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/NTMLV3LOR4EQUB7FP4GPLPXNP4 \
  | 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: 6cd8baed6e8f090a07e57f0cf5beed7f03e77e542b4c2abe890716c86649535b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23900db06afe3a88168265dd275de19ad69c2e8b1bd37d075f2b0393637f2c70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-02-08T11:05:32Z",
    "title_canon_sha256": "e8821376e9b473fd89afcbfb097f2f3c7b45ce85692bc1ee170ef27ffde407ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02238",
    "kind": "arxiv",
    "version": 4
  }
}