Pith Number

pith:UUOODZ2D

pith:2012:UUOODZ2DYLJ35R2DVIGULTO5YI

not attested not anchored not stored refs pending

Estimating Coefficients of Frobenius Series by Legendre Transform and WKB Approximation

Amna Noreen, K{\aa}re Olaussen

arxiv:1205.2221 v1 · 2012-05-10 · math-ph · math.MP · physics.comp-ph · 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{UUOODZ2DYLJ35R2DVIGULTO5YI}

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	2026-05-18T03:55:56.772682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a51ce1e743c2d3bec743aa0d45cdddc218b1b752279c6977f54c6aa413f545f6

Aliases

arxiv: 1205.2221 · arxiv_version: 1205.2221v1 · doi: 10.48550/arxiv.1205.2221 · pith_short_12: UUOODZ2DYLJ3 · pith_short_16: UUOODZ2DYLJ35R2D · pith_short_8: UUOODZ2D

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/UUOODZ2DYLJ35R2DVIGULTO5YI \
  | 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: a51ce1e743c2d3bec743aa0d45cdddc218b1b752279c6977f54c6aa413f545f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "866fe4016bc313d0ce4c0f081bd30777a7153ba35e08a00bc410b26a8dcdc605",
    "cross_cats_sorted": [
      "math.MP",
      "physics.comp-ph",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-05-10T10:17:15Z",
    "title_canon_sha256": "ce18a0ff913091b880fd24712faedb674708de87daab77d0a8c888f9c9cb1e92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2221",
    "kind": "arxiv",
    "version": 1
  }
}