Pith Number

pith:2R2YWUNG

pith:2013:2R2YWUNGVYTG4EZGUYN7RHQTAZ

not attested not anchored not stored refs pending

The Morse and Maslov indices for matrix Hill's equations

Christopher K. R. T. Jones, Robert Marangell, Yuri Latushkin

arxiv:1301.4418 v3 · 2013-01-18 · math.SP · math-ph · math.DS · math.MP · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2R2YWUNGVYTG4EZGUYN7RHQTAZ}

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	2026-05-18T01:44:20.824165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4758b51a6ae266e1326a61bf89e13065bbb239adc436eae9b3974f323d7dbd3

Aliases

arxiv: 1301.4418 · arxiv_version: 1301.4418v3 · doi: 10.48550/arxiv.1301.4418 · pith_short_12: 2R2YWUNGVYTG · pith_short_16: 2R2YWUNGVYTG4EZG · pith_short_8: 2R2YWUNG

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/2R2YWUNGVYTG4EZGUYN7RHQTAZ \
  | 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: d4758b51a6ae266e1326a61bf89e13065bbb239adc436eae9b3974f323d7dbd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "798edd38da06f3a42796a71005f12bf6d6bf9e8bc1c31707f8471a7178bf0321",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-01-18T16:15:07Z",
    "title_canon_sha256": "fbaf93a4b238a4d860a08008be16429527fd196bc6df20d16eeb2bbbd42d7e8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4418",
    "kind": "arxiv",
    "version": 3
  }
}