Pith Number

pith:ZNGLLFKR

pith:2012:ZNGLLFKRAENDLNDIS3WWFPFZZC

not attested not anchored not stored refs pending

Asymptotics of Carleman polynomials for level curves of the inverse of a shifted Zhukovsky transformation

Erwin Mi\~na-D\'iaz, Michael Northington V, Peter Dragnev

arxiv:1212.1816 v1 · 2012-12-08 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZNGLLFKRAENDLNDIS3WWFPFZZC}

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	2026-05-18T03:38:55.048833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb4cb59551011a35b46896ed62bcb9c8a87d809e782ebd873d14b6d96738f8b2

Aliases

arxiv: 1212.1816 · arxiv_version: 1212.1816v1 · doi: 10.48550/arxiv.1212.1816 · pith_short_12: ZNGLLFKRAEND · pith_short_16: ZNGLLFKRAENDLNDI · pith_short_8: ZNGLLFKR

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/ZNGLLFKRAENDLNDIS3WWFPFZZC \
  | 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: cb4cb59551011a35b46896ed62bcb9c8a87d809e782ebd873d14b6d96738f8b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14c2b52d3d46a60943c1abe8aca2da66b261613d233f9e218c1943b196bd57f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-12-08T16:51:06Z",
    "title_canon_sha256": "b113538166723cd58278afecf59aa86df92c11fba747458d3ad6aa1231074376"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1816",
    "kind": "arxiv",
    "version": 1
  }
}