Pith Number

pith:LLYMKRI6

pith:2015:LLYMKRI6E5BJWDFLS7JRSN3CQV

not attested not anchored not stored refs pending

Asymptotics of spectral quantities of Zakharov-Shabat operators

B. Schaad, P.Topalov, T. Kappeler

arxiv:1503.04850 v1 · 2015-03-16 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LLYMKRI6E5BJWDFLS7JRSN3CQV}

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	2026-05-18T02:22:21.426192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5af0c5451e27429b0cab97d31937628549bda7eaaeb61caa49c7297987a9aee1

Aliases

arxiv: 1503.04850 · arxiv_version: 1503.04850v1 · doi: 10.48550/arxiv.1503.04850 · pith_short_12: LLYMKRI6E5BJ · pith_short_16: LLYMKRI6E5BJWDFL · pith_short_8: LLYMKRI6

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/LLYMKRI6E5BJWDFLS7JRSN3CQV \
  | 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: 5af0c5451e27429b0cab97d31937628549bda7eaaeb61caa49c7297987a9aee1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f96d343d3f29c84aa10c460e8acb0ba4c9ca7ee08300a2fedf5b8cb89268d75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-03-16T21:02:54Z",
    "title_canon_sha256": "0fb18f3762f414add588f702ca85c0302ea67c18060fa6409e75567a1e945e95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.04850",
    "kind": "arxiv",
    "version": 1
  }
}