Pith Number

pith:O2L2MZ62

pith:2021:O2L2MZ62A5SLR7VRIIE4TGQPQY

not attested not anchored not stored refs pending

Existence and Uniqueness of Exact WKB Solutions for Second-Order Singularly Perturbed Linear ODEs

Nikita Nikolaev

arxiv:2106.10248 v2 · 2021-06-18 · math.AP · math-ph · math.CA · 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{O2L2MZ62A5SLR7VRIIE4TGQPQY}

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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

Les Houches Lectures on Exact WKB Analysis and Painlev\'e Equations

Receipt and verification

First computed	2026-07-05T06:17:35.967046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7697a667da0764b8feb14209c99a0f8608c8acba8182b91af2920aad3e693476

Aliases

arxiv: 2106.10248 · arxiv_version: 2106.10248v2 · doi: 10.48550/arxiv.2106.10248 · pith_short_12: O2L2MZ62A5SL · pith_short_16: O2L2MZ62A5SLR7VR · pith_short_8: O2L2MZ62

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/O2L2MZ62A5SLR7VRIIE4TGQPQY \
  | 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: 7697a667da0764b8feb14209c99a0f8608c8acba8182b91af2920aad3e693476

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4b68e47ebf96bf31d5a67e476a3872a4ec6d1051949925b26348ba2422d53fb",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-06-18T17:28:49Z",
    "title_canon_sha256": "5f18cc534a7f552fbdf2f576ad16ede63679f830ea6a22d5473399a28366ce41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.10248",
    "kind": "arxiv",
    "version": 2
  }
}