Pith Number

pith:I7AWY2KV

pith:2021:I7AWY2KVQMELR47WANB7QC4QSN

not attested not anchored not stored refs pending

Lemniscate ensembles with spectral singularity

Meng Yang, Seung-Yeop Lee, Sung-Soo Byun

arxiv:2107.07221 v2 · 2021-07-15 · math.PR · 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{I7AWY2KVQMELR47WANB7QC4QSN}

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

Asymptotics for a class of planar orthogonal polynomials and truncated unitary matrices

Receipt and verification

First computed	2026-07-05T06:07:07.956046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47c16c69558308b8f3f60343f80b90936a4262072a67992311d385dc23b58393

Aliases

arxiv: 2107.07221 · arxiv_version: 2107.07221v2 · doi: 10.48550/arxiv.2107.07221 · pith_short_12: I7AWY2KVQMEL · pith_short_16: I7AWY2KVQMELR47W · pith_short_8: I7AWY2KV

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/I7AWY2KVQMELR47WANB7QC4QSN \
  | 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: 47c16c69558308b8f3f60343f80b90936a4262072a67992311d385dc23b58393

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01acb312226b67c2ca9bca99df4c189762637e542ea30da37381c4029adf0f50",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-07-15T09:53:32Z",
    "title_canon_sha256": "d9be7f7fb1b1eae67fa1048e9cee977f58056f8549e94ac3dc2798b62dede4f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.07221",
    "kind": "arxiv",
    "version": 2
  }
}