Pith Number

pith:2JZVEC4Y

pith:2020:2JZVEC4YDGKRCF6B3LYRMCCEJL

not attested not anchored not stored refs pending

Exact Solutions for the Singularly Perturbed Riccati Equation and Exact WKB Analysis

Nikita Nikolaev

arxiv:2008.06492 v2 · 2020-08-14 · math.CA · math-ph · math.CV · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2JZVEC4YDGKRCF6B3LYRMCCEJL}

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.

Cited by

1 paper in Pith

Duck hunting with quantum mechanics

Receipt and verification

First computed	2026-07-05T06:17:35.341360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d273520b9819951117c1daf11608444ac0ce47c0b937c4b1b26678216af3a646

Aliases

arxiv: 2008.06492 · arxiv_version: 2008.06492v2 · doi: 10.48550/arxiv.2008.06492 · pith_short_12: 2JZVEC4YDGKR · pith_short_16: 2JZVEC4YDGKRCF6B · pith_short_8: 2JZVEC4Y

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/2JZVEC4YDGKRCF6B3LYRMCCEJL \
  | 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: d273520b9819951117c1daf11608444ac0ce47c0b937c4b1b26678216af3a646

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adb761bd388648765800491dfef2dced0926c841a243f2f1aab2fefbcf5b510e",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2020-08-14T17:54:01Z",
    "title_canon_sha256": "5d4bdc41417dfa8e374be73eb0ae935cdfd3c4451f517ebc6a195d795d4d0577"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.06492",
    "kind": "arxiv",
    "version": 2
  }
}