Pith Number

pith:442KMJBI

pith:2012:442KMJBIKSMRA5M6WQYT3PRWHZ

not attested not anchored not stored refs pending

Isospectral Mathieu-Hill Operators

O. A. Veliev

arxiv:1202.6048 v3 · 2012-02-27 · 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{442KMJBIKSMRA5M6WQYT3PRWHZ}

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	2026-05-18T01:58:19.072070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e734a62428549910759eb4313dbe363e78d3468bbc67d19b86156e313bb1f271

Aliases

arxiv: 1202.6048 · arxiv_version: 1202.6048v3 · doi: 10.48550/arxiv.1202.6048 · pith_short_12: 442KMJBIKSMR · pith_short_16: 442KMJBIKSMRA5M6 · pith_short_8: 442KMJBI

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/442KMJBIKSMRA5M6WQYT3PRWHZ \
  | 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: e734a62428549910759eb4313dbe363e78d3468bbc67d19b86156e313bb1f271

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c161a5c69f869b613e414790c87b27ffcd4a0a5b64262d0b6f45ed77b8ee518",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-02-27T20:41:10Z",
    "title_canon_sha256": "5b6ca2b98733f3944a37ae7532afcbd76e6b19d758ddf458e20e5b988b6641cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.6048",
    "kind": "arxiv",
    "version": 3
  }
}