Pith Number

pith:32ULFWUR

pith:2015:32ULFWURTW5Z2ISJ5UOBFXSX2F

not attested not anchored not stored refs pending

Shape Invariant Rational Extensions And Potentials Related to Exceptional Polynomials

A. K Kapoor, R. Sandhya, S. Sree Ranjani

arxiv:1503.01394 v1 · 2015-03-04 · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{32ULFWURTW5Z2ISJ5UOBFXSX2F}

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	2026-05-18T01:31:45.337173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dea8b2da919dbb9d2249ed1c12de57d154a88ed0f7c10bc2cc4a09fcdf5d12d6

Aliases

arxiv: 1503.01394 · arxiv_version: 1503.01394v1 · doi: 10.48550/arxiv.1503.01394 · pith_short_12: 32ULFWURTW5Z · pith_short_16: 32ULFWURTW5Z2ISJ · pith_short_8: 32ULFWUR

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/32ULFWURTW5Z2ISJ5UOBFXSX2F \
  | 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: dea8b2da919dbb9d2249ed1c12de57d154a88ed0f7c10bc2cc4a09fcdf5d12d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8af0c038799eeb08b62e942a6d25358aafc257ad2cf9189520a9ab3029a01fae",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-03-04T17:19:14Z",
    "title_canon_sha256": "4e8aea2d28fc455014cfcb123d49447dfc857b9c3edcefcac53844d4efe8ab5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01394",
    "kind": "arxiv",
    "version": 1
  }
}