Pith Number

pith:PB5ZVRGB

pith:2010:PB5ZVRGBL7ZNYN7SPAPFKF75QV

not attested not anchored not stored refs pending

Exceptional orthogonal polynomials, QHJ formalism and SWKB quantization condition

A. Gangopadhyaya, A. Khare, A. K. Kapoor, P. K. Panigrahi, S. Sree Ranjani

arxiv:1009.1944 v3 · 2010-09-10 · 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{PB5ZVRGBL7ZNYN7SPAPFKF75QV}

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	2026-05-18T04:06:43.642109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

787b9ac4c15ff2dc37f2781e5517fd8554c9907c7b95a912cb0fdd160f1055b5

Aliases

arxiv: 1009.1944 · arxiv_version: 1009.1944v3 · doi: 10.48550/arxiv.1009.1944 · pith_short_12: PB5ZVRGBL7ZN · pith_short_16: PB5ZVRGBL7ZNYN7S · pith_short_8: PB5ZVRGB

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/PB5ZVRGBL7ZNYN7SPAPFKF75QV \
  | 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: 787b9ac4c15ff2dc37f2781e5517fd8554c9907c7b95a912cb0fdd160f1055b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e85e61c679c3809346884bba9402bb3074e1521db5d08eca30c801da68ce65f8",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-09-10T07:15:13Z",
    "title_canon_sha256": "5e10b946fa0675ad09546121744dd6e0be540c94a7dc5b3a157da3c59a93a44d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1944",
    "kind": "arxiv",
    "version": 3
  }
}