Pith Number

pith:EZN2WLDW

pith:2010:EZN2WLDWPBA3LPQ42B5UZHX3CS

not attested not anchored not stored refs pending

Singular perturbation of polynomial potentials in the complex domain with applications to PT-symmetric families

Alexandre Eremenko, Andrei Gabrielov

arxiv:1005.1696 v2 · 2010-05-11 · 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{EZN2WLDWPBA3LPQ42B5UZHX3CS}

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	2026-05-18T04:03:07.415793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

265bab2c767841b5be1cd07b4c9efb14bdc7f6f4b48e627f0365e831df09e156

Aliases

arxiv: 1005.1696 · arxiv_version: 1005.1696v2 · doi: 10.48550/arxiv.1005.1696 · pith_short_12: EZN2WLDWPBA3 · pith_short_16: EZN2WLDWPBA3LPQ4 · pith_short_8: EZN2WLDW

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/EZN2WLDWPBA3LPQ42B5UZHX3CS \
  | 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: 265bab2c767841b5be1cd07b4c9efb14bdc7f6f4b48e627f0365e831df09e156

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ed99975c63f7a880e79c0ad044bbf6856b4c162d7d5b14906540b4c0d588c0d",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-05-11T00:25:58Z",
    "title_canon_sha256": "e90276b02677dad4e48887da9b7a391b95b3a7bad5e0efcddf77ac07d9dff958"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1696",
    "kind": "arxiv",
    "version": 2
  }
}